Finding the Third Proportional to 129,736.50 and 194,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,736.50 : 194,605.50 = 194,605.50 : x
2. Step 2: Convert to fraction form
   129,736.50/194,605.50 = 194,605.50/x
3. Step 3: Cross multiply
   129,736.50x = 194,605.50 × 194,605.50
4. Step 4: Simplify right side
   129,736.50x = 37,871,300,630.25
5. Step 5: Solve for x
   x = 37,871,300,630.25/129,736.50
6. Step 6: Final answer
   x = 291,909.38