Finding the Third Proportional to 80,519 and 109,342

Step by Step Solution

1. Step 1: Write the proportion equation
   80,519 : 109,342 = 109,342 : x
2. Step 2: Convert to fraction form
   80,519/109,342 = 109,342/x
3. Step 3: Cross multiply
   80,519x = 109,342 × 109,342
4. Step 4: Simplify right side
   80,519x = 11,955,672,964
5. Step 5: Solve for x
   x = 11,955,672,964/80,519
6. Step 6: Final answer
   x = 148,482.63