Finding the Third Proportional to 417,404 and 634,086

Step by Step Solution

1. Step 1: Write the proportion equation
   417,404 : 634,086 = 634,086 : x
2. Step 2: Convert to fraction form
   417,404/634,086 = 634,086/x
3. Step 3: Cross multiply
   417,404x = 634,086 × 634,086
4. Step 4: Simplify right side
   417,404x = 402,065,055,396
5. Step 5: Solve for x
   x = 402,065,055,396/417,404
6. Step 6: Final answer
   x = 963,251.56