Finding the Third Proportional to 493,441.88 and 643,114.69

Step by Step Solution

1. Step 1: Write the proportion equation
   493,441.88 : 643,114.69 = 643,114.69 : x
2. Step 2: Convert to fraction form
   493,441.88/643,114.69 = 643,114.69/x
3. Step 3: Cross multiply
   493,441.88x = 643,114.69 × 643,114.69
4. Step 4: Simplify right side
   493,441.88x = 413,596,501,278.22
5. Step 5: Solve for x
   x = 413,596,501,278.22/493,441.88
6. Step 6: Final answer
   x = 838,186.87