Finding the Third Proportional to 354,382,018 and 510,501,123

Step by Step Solution

1. Step 1: Write the proportion equation
   354,382,018 : 510,501,123 = 510,501,123 : x
2. Step 2: Convert to fraction form
   354,382,018/510,501,123 = 510,501,123/x
3. Step 3: Cross multiply
   354,382,018x = 510,501,123 × 510,501,123
4. Step 4: Simplify right side
   354,382,018x = 260,611,396,584,261,120
5. Step 5: Solve for x
   x = 260,611,396,584,261,120/354,382,018
6. Step 6: Final answer
   x = 735,396,784.68