Finding the Third Proportional to 417,644 and 632,300

Step by Step Solution

1. Step 1: Write the proportion equation
   417,644 : 632,300 = 632,300 : x
2. Step 2: Convert to fraction form
   417,644/632,300 = 632,300/x
3. Step 3: Cross multiply
   417,644x = 632,300 × 632,300
4. Step 4: Simplify right side
   417,644x = 399,803,290,000
5. Step 5: Solve for x
   x = 399,803,290,000/417,644
6. Step 6: Final answer
   x = 957,282.49