Finding the Third Proportional to 80,522 and 109,347

Step by Step Solution

1. Step 1: Write the proportion equation
   80,522 : 109,347 = 109,347 : x
2. Step 2: Convert to fraction form
   80,522/109,347 = 109,347/x
3. Step 3: Cross multiply
   80,522x = 109,347 × 109,347
4. Step 4: Simplify right side
   80,522x = 11,956,766,409
5. Step 5: Solve for x
   x = 11,956,766,409/80,522
6. Step 6: Final answer
   x = 148,490.68