Finding the Third Proportional to 72,742 and 109,384

Step by Step Solution

1. Step 1: Write the proportion equation
   72,742 : 109,384 = 109,384 : x
2. Step 2: Convert to fraction form
   72,742/109,384 = 109,384/x
3. Step 3: Cross multiply
   72,742x = 109,384 × 109,384
4. Step 4: Simplify right side
   72,742x = 11,964,859,456
5. Step 5: Solve for x
   x = 11,964,859,456/72,742
6. Step 6: Final answer
   x = 164,483.51