Finding the Third Proportional to 508,225.50 and 677,541

Step by Step Solution

1. Step 1: Write the proportion equation
   508,225.50 : 677,541 = 677,541 : x
2. Step 2: Convert to fraction form
   508,225.50/677,541 = 677,541/x
3. Step 3: Cross multiply
   508,225.50x = 677,541 × 677,541
4. Step 4: Simplify right side
   508,225.50x = 459,061,806,681
5. Step 5: Solve for x
   x = 459,061,806,681/508,225.50
6. Step 6: Final answer
   x = 903,264.02