Finding the Third Proportional to 102,147.38 and 158,533.88

Step by Step Solution

1. Step 1: Write the proportion equation
   102,147.38 : 158,533.88 = 158,533.88 : x
2. Step 2: Convert to fraction form
   102,147.38/158,533.88 = 158,533.88/x
3. Step 3: Cross multiply
   102,147.38x = 158,533.88 × 158,533.88
4. Step 4: Simplify right side
   102,147.38x = 25,132,989,522.52
5. Step 5: Solve for x
   x = 25,132,989,522.52/102,147.38
6. Step 6: Final answer
   x = 246,046.36