Finding the Third Proportional to 102,382.50 and 155,004

Step by Step Solution

1. Step 1: Write the proportion equation
   102,382.50 : 155,004 = 155,004 : x
2. Step 2: Convert to fraction form
   102,382.50/155,004 = 155,004/x
3. Step 3: Cross multiply
   102,382.50x = 155,004 × 155,004
4. Step 4: Simplify right side
   102,382.50x = 24,026,240,016
5. Step 5: Solve for x
   x = 24,026,240,016/102,382.50
6. Step 6: Final answer
   x = 234,671.36