Finding the Third Proportional to 102,661.50 and 153,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,661.50 : 153,574.50 = 153,574.50 : x
2. Step 2: Convert to fraction form
   102,661.50/153,574.50 = 153,574.50/x
3. Step 3: Cross multiply
   102,661.50x = 153,574.50 × 153,574.50
4. Step 4: Simplify right side
   102,661.50x = 23,585,127,050.25
5. Step 5: Solve for x
   x = 23,585,127,050.25/102,661.50
6. Step 6: Final answer
   x = 229,736.82