Finding the Third Proportional to 72,720 and 110,064

Step by Step Solution

1. Step 1: Write the proportion equation
   72,720 : 110,064 = 110,064 : x
2. Step 2: Convert to fraction form
   72,720/110,064 = 110,064/x
3. Step 3: Cross multiply
   72,720x = 110,064 × 110,064
4. Step 4: Simplify right side
   72,720x = 12,114,084,096
5. Step 5: Solve for x
   x = 12,114,084,096/72,720
6. Step 6: Final answer
   x = 166,585.31