Finding the Third Proportional to 153,127.50 and 224,498.25

Step by Step Solution

1. Step 1: Write the proportion equation
   153,127.50 : 224,498.25 = 224,498.25 : x
2. Step 2: Convert to fraction form
   153,127.50/224,498.25 = 224,498.25/x
3. Step 3: Cross multiply
   153,127.50x = 224,498.25 × 224,498.25
4. Step 4: Simplify right side
   153,127.50x = 50,399,464,253.06
5. Step 5: Solve for x
   x = 50,399,464,253.06/153,127.50
6. Step 6: Final answer
   x = 329,133.98