Finding the Third Proportional to 72,720 and 112,536

Step by Step Solution

1. Step 1: Write the proportion equation
   72,720 : 112,536 = 112,536 : x
2. Step 2: Convert to fraction form
   72,720/112,536 = 112,536/x
3. Step 3: Cross multiply
   72,720x = 112,536 × 112,536
4. Step 4: Simplify right side
   72,720x = 12,664,351,296
5. Step 5: Solve for x
   x = 12,664,351,296/72,720
6. Step 6: Final answer
   x = 174,152.25