Finding the Third Proportional to 238,787,098.50 and 514,105,845

Step by Step Solution

1. Step 1: Write the proportion equation
   238,787,098.50 : 514,105,845 = 514,105,845 : x
2. Step 2: Convert to fraction form
   238,787,098.50/514,105,845 = 514,105,845/x
3. Step 3: Cross multiply
   238,787,098.50x = 514,105,845 × 514,105,845
4. Step 4: Simplify right side
   238,787,098.50x = 264,304,819,863,164,032
5. Step 5: Solve for x
   x = 264,304,819,863,164,032/238,787,098.50
6. Step 6: Final answer
   x = 1,106,863,903.13