Finding the Third Proportional to 129,874.50 and 194,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,874.50 : 194,287.50 = 194,287.50 : x
2. Step 2: Convert to fraction form
   129,874.50/194,287.50 = 194,287.50/x
3. Step 3: Cross multiply
   129,874.50x = 194,287.50 × 194,287.50
4. Step 4: Simplify right side
   129,874.50x = 37,747,632,656.25
5. Step 5: Solve for x
   x = 37,747,632,656.25/129,874.50
6. Step 6: Final answer
   x = 290,646.99