Finding the Third Proportional to 80,516 and 109,338

Step by Step Solution

1. Step 1: Write the proportion equation
   80,516 : 109,338 = 109,338 : x
2. Step 2: Convert to fraction form
   80,516/109,338 = 109,338/x
3. Step 3: Cross multiply
   80,516x = 109,338 × 109,338
4. Step 4: Simplify right side
   80,516x = 11,954,798,244
5. Step 5: Solve for x
   x = 11,954,798,244/80,516
6. Step 6: Final answer
   x = 148,477.30