Finding the Third Proportional to 133,731 and 196,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,731 : 196,501.50 = 196,501.50 : x
2. Step 2: Convert to fraction form
   133,731/196,501.50 = 196,501.50/x
3. Step 3: Cross multiply
   133,731x = 196,501.50 × 196,501.50
4. Step 4: Simplify right side
   133,731x = 38,612,839,502.25
5. Step 5: Solve for x
   x = 38,612,839,502.25/133,731
6. Step 6: Final answer
   x = 288,735.14