Finding the Third Proportional to 632,983,651,970 and 854,043,567,612

Step by Step Solution

1. Step 1: Write the proportion equation
   632,983,651,970 : 854,043,567,612 = 854,043,567,612 : x
2. Step 2: Convert to fraction form
   632,983,651,970/854,043,567,612 = 854,043,567,612/x
3. Step 3: Cross multiply
   632,983,651,970x = 854,043,567,612 × 854,043,567,612
4. Step 4: Simplify right side
   632,983,651,970x = 729,390,415,379,432,749,400,064
5. Step 5: Solve for x
   x = 729,390,415,379,432,749,400,064/632,983,651,970
6. Step 6: Final answer
   x = 1,152,305,297,473.94