Finding the Third Proportional to 362,212 and 532,216

Step by Step Solution

1. Step 1: Write the proportion equation
   362,212 : 532,216 = 532,216 : x
2. Step 2: Convert to fraction form
   362,212/532,216 = 532,216/x
3. Step 3: Cross multiply
   362,212x = 532,216 × 532,216
4. Step 4: Simplify right side
   362,212x = 283,253,870,656
5. Step 5: Solve for x
   x = 283,253,870,656/362,212
6. Step 6: Final answer
   x = 782,011.28