Finding the Third Proportional to 148,662 and 322,596

Step by Step Solution

1. Step 1: Write the proportion equation
   148,662 : 322,596 = 322,596 : x
2. Step 2: Convert to fraction form
   148,662/322,596 = 322,596/x
3. Step 3: Cross multiply
   148,662x = 322,596 × 322,596
4. Step 4: Simplify right side
   148,662x = 104,068,179,216
5. Step 5: Solve for x
   x = 104,068,179,216/148,662
6. Step 6: Final answer
   x = 700,032.15