Finding the Third Proportional to 72,684 and 109,458

Step by Step Solution

1. Step 1: Write the proportion equation
   72,684 : 109,458 = 109,458 : x
2. Step 2: Convert to fraction form
   72,684/109,458 = 109,458/x
3. Step 3: Cross multiply
   72,684x = 109,458 × 109,458
4. Step 4: Simplify right side
   72,684x = 11,981,053,764
5. Step 5: Solve for x
   x = 11,981,053,764/72,684
6. Step 6: Final answer
   x = 164,837.57