Finding the Third Proportional to 83,338 and 129,058.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,338 : 129,058.50 = 129,058.50 : x
2. Step 2: Convert to fraction form
   83,338/129,058.50 = 129,058.50/x
3. Step 3: Cross multiply
   83,338x = 129,058.50 × 129,058.50
4. Step 4: Simplify right side
   83,338x = 16,656,096,422.25
5. Step 5: Solve for x
   x = 16,656,096,422.25/83,338
6. Step 6: Final answer
   x = 199,861.96