Finding the Third Proportional to 103,776 and 155,665

Step by Step Solution

1. Step 1: Write the proportion equation
   103,776 : 155,665 = 155,665 : x
2. Step 2: Convert to fraction form
   103,776/155,665 = 155,665/x
3. Step 3: Cross multiply
   103,776x = 155,665 × 155,665
4. Step 4: Simplify right side
   103,776x = 24,231,592,225
5. Step 5: Solve for x
   x = 24,231,592,225/103,776
6. Step 6: Final answer
   x = 233,499.00