Finding the Third Proportional to 103,665 and 155,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,665 : 155,463.50 = 155,463.50 : x
2. Step 2: Convert to fraction form
   103,665/155,463.50 = 155,463.50/x
3. Step 3: Cross multiply
   103,665x = 155,463.50 × 155,463.50
4. Step 4: Simplify right side
   103,665x = 24,168,899,832.25
5. Step 5: Solve for x
   x = 24,168,899,832.25/103,665
6. Step 6: Final answer
   x = 233,144.26