Finding the Third Proportional to 362,322 and 532,404

Step by Step Solution

1. Step 1: Write the proportion equation
   362,322 : 532,404 = 532,404 : x
2. Step 2: Convert to fraction form
   362,322/532,404 = 532,404/x
3. Step 3: Cross multiply
   362,322x = 532,404 × 532,404
4. Step 4: Simplify right side
   362,322x = 283,454,019,216
5. Step 5: Solve for x
   x = 283,454,019,216/362,322
6. Step 6: Final answer
   x = 782,326.27