Finding the Third Proportional to 103,825.13 and 152,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,825.13 : 152,821.50 = 152,821.50 : x
2. Step 2: Convert to fraction form
   103,825.13/152,821.50 = 152,821.50/x
3. Step 3: Cross multiply
   103,825.13x = 152,821.50 × 152,821.50
4. Step 4: Simplify right side
   103,825.13x = 23,354,410,862.25
5. Step 5: Solve for x
   x = 23,354,410,862.25/103,825.13
6. Step 6: Final answer
   x = 224,939.88