Finding the Third Proportional to 83,638,317 and 174,149,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,638,317 : 174,149,998.50 = 174,149,998.50 : x
2. Step 2: Convert to fraction form
   83,638,317/174,149,998.50 = 174,149,998.50/x
3. Step 3: Cross multiply
   83,638,317x = 174,149,998.50 × 174,149,998.50
4. Step 4: Simplify right side
   83,638,317x = 30,328,221,977,550,004
5. Step 5: Solve for x
   x = 30,328,221,977,550,004/83,638,317
6. Step 6: Final answer
   x = 362,611,576.43