Finding the Third Proportional to 832,781,764 and 1,293,648,648

Step by Step Solution

1. Step 1: Write the proportion equation
   832,781,764 : 1,293,648,648 = 1,293,648,648 : x
2. Step 2: Convert to fraction form
   832,781,764/1,293,648,648 = 1,293,648,648/x
3. Step 3: Cross multiply
   832,781,764x = 1,293,648,648 × 1,293,648,648
4. Step 4: Simplify right side
   832,781,764x = 1,673,526,824,472,227,840
5. Step 5: Solve for x
   x = 1,673,526,824,472,227,840/832,781,764
6. Step 6: Final answer
   x = 2,009,562,284.88