Finding the Third Proportional to 329,725,984 and 510,083,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   329,725,984 : 510,083,830.50 = 510,083,830.50 : x
2. Step 2: Convert to fraction form
   329,725,984/510,083,830.50 = 510,083,830.50/x
3. Step 3: Cross multiply
   329,725,984x = 510,083,830.50 × 510,083,830.50
4. Step 4: Simplify right side
   329,725,984x = 260,185,514,137,552,736
5. Step 5: Solve for x
   x = 260,185,514,137,552,736/329,725,984
6. Step 6: Final answer
   x = 789,096,179.14