Finding the Third Proportional to 413,549 and 632,490

Step by Step Solution

1. Step 1: Write the proportion equation
   413,549 : 632,490 = 632,490 : x
2. Step 2: Convert to fraction form
   413,549/632,490 = 632,490/x
3. Step 3: Cross multiply
   413,549x = 632,490 × 632,490
4. Step 4: Simplify right side
   413,549x = 400,043,600,100
5. Step 5: Solve for x
   x = 400,043,600,100/413,549
6. Step 6: Final answer
   x = 967,342.69