Finding the Third Proportional to 72,808 and 109,724

Step by Step Solution

1. Step 1: Write the proportion equation
   72,808 : 109,724 = 109,724 : x
2. Step 2: Convert to fraction form
   72,808/109,724 = 109,724/x
3. Step 3: Cross multiply
   72,808x = 109,724 × 109,724
4. Step 4: Simplify right side
   72,808x = 12,039,356,176
5. Step 5: Solve for x
   x = 12,039,356,176/72,808
6. Step 6: Final answer
   x = 165,357.60