Finding the Third Proportional to 72,466 and 109,720

Step by Step Solution

1. Step 1: Write the proportion equation
   72,466 : 109,720 = 109,720 : x
2. Step 2: Convert to fraction form
   72,466/109,720 = 109,720/x
3. Step 3: Cross multiply
   72,466x = 109,720 × 109,720
4. Step 4: Simplify right side
   72,466x = 12,038,478,400
5. Step 5: Solve for x
   x = 12,038,478,400/72,466
6. Step 6: Final answer
   x = 166,125.89