Finding the Third Proportional to 72,816 and 109,464

Step by Step Solution

1. Step 1: Write the proportion equation
   72,816 : 109,464 = 109,464 : x
2. Step 2: Convert to fraction form
   72,816/109,464 = 109,464/x
3. Step 3: Cross multiply
   72,816x = 109,464 × 109,464
4. Step 4: Simplify right side
   72,816x = 11,982,367,296
5. Step 5: Solve for x
   x = 11,982,367,296/72,816
6. Step 6: Final answer
   x = 164,556.79