Finding the Third Proportional to 133,707 and 196,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,707 : 196,564.50 = 196,564.50 : x
2. Step 2: Convert to fraction form
   133,707/196,564.50 = 196,564.50/x
3. Step 3: Cross multiply
   133,707x = 196,564.50 × 196,564.50
4. Step 4: Simplify right side
   133,707x = 38,637,602,660.25
5. Step 5: Solve for x
   x = 38,637,602,660.25/133,707
6. Step 6: Final answer
   x = 288,972.18