Finding the Third Proportional to 224,574 and 337,772.25

Step by Step Solution

1. Step 1: Write the proportion equation
   224,574 : 337,772.25 = 337,772.25 : x
2. Step 2: Convert to fraction form
   224,574/337,772.25 = 337,772.25/x
3. Step 3: Cross multiply
   224,574x = 337,772.25 × 337,772.25
4. Step 4: Simplify right side
   224,574x = 114,090,092,870.06
5. Step 5: Solve for x
   x = 114,090,092,870.06/224,574
6. Step 6: Final answer
   x = 508,028.95