Finding the Third Proportional to 133,632 and 196,464

Step by Step Solution

1. Step 1: Write the proportion equation
   133,632 : 196,464 = 196,464 : x
2. Step 2: Convert to fraction form
   133,632/196,464 = 196,464/x
3. Step 3: Cross multiply
   133,632x = 196,464 × 196,464
4. Step 4: Simplify right side
   133,632x = 38,598,103,296
5. Step 5: Solve for x
   x = 38,598,103,296/133,632
6. Step 6: Final answer
   x = 288,838.78