Finding the Third Proportional to 72,802 and 109,716

Step by Step Solution

1. Step 1: Write the proportion equation
   72,802 : 109,716 = 109,716 : x
2. Step 2: Convert to fraction form
   72,802/109,716 = 109,716/x
3. Step 3: Cross multiply
   72,802x = 109,716 × 109,716
4. Step 4: Simplify right side
   72,802x = 12,037,600,656
5. Step 5: Solve for x
   x = 12,037,600,656/72,802
6. Step 6: Final answer
   x = 165,347.11