Finding the Third Proportional to 403,766.25 and 588,123

Step by Step Solution

1. Step 1: Write the proportion equation
   403,766.25 : 588,123 = 588,123 : x
2. Step 2: Convert to fraction form
   403,766.25/588,123 = 588,123/x
3. Step 3: Cross multiply
   403,766.25x = 588,123 × 588,123
4. Step 4: Simplify right side
   403,766.25x = 345,888,663,129
5. Step 5: Solve for x
   x = 345,888,663,129/403,766.25
6. Step 6: Final answer
   x = 856,655.71