Finding the Third Proportional to 72,808 and 109,726

Step by Step Solution

1. Step 1: Write the proportion equation
   72,808 : 109,726 = 109,726 : x
2. Step 2: Convert to fraction form
   72,808/109,726 = 109,726/x
3. Step 3: Cross multiply
   72,808x = 109,726 × 109,726
4. Step 4: Simplify right side
   72,808x = 12,039,795,076
5. Step 5: Solve for x
   x = 12,039,795,076/72,808
6. Step 6: Final answer
   x = 165,363.63