Finding the Third Proportional to 492,775.50 and 647,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   492,775.50 : 647,038.50 = 647,038.50 : x
2. Step 2: Convert to fraction form
   492,775.50/647,038.50 = 647,038.50/x
3. Step 3: Cross multiply
   492,775.50x = 647,038.50 × 647,038.50
4. Step 4: Simplify right side
   492,775.50x = 418,658,820,482.25
5. Step 5: Solve for x
   x = 418,658,820,482.25/492,775.50
6. Step 6: Final answer
   x = 849,593.42