Finding the Third Proportional to 102,952.69 and 156,409.31

Step by Step Solution

1. Step 1: Write the proportion equation
   102,952.69 : 156,409.31 = 156,409.31 : x
2. Step 2: Convert to fraction form
   102,952.69/156,409.31 = 156,409.31/x
3. Step 3: Cross multiply
   102,952.69x = 156,409.31 × 156,409.31
4. Step 4: Simplify right side
   102,952.69x = 24,463,873,036.72
5. Step 5: Solve for x
   x = 24,463,873,036.72/102,952.69
6. Step 6: Final answer
   x = 237,622.48