Finding the Third Proportional to 401,724.56 and 544,978.13

Step by Step Solution

1. Step 1: Write the proportion equation
   401,724.56 : 544,978.13 = 544,978.13 : x
2. Step 2: Convert to fraction form
   401,724.56/544,978.13 = 544,978.13/x
3. Step 3: Cross multiply
   401,724.56x = 544,978.13 × 544,978.13
4. Step 4: Simplify right side
   401,724.56x = 297,001,156,728.52
5. Step 5: Solve for x
   x = 297,001,156,728.52/401,724.56
6. Step 6: Final answer
   x = 739,315.40