Finding the Third Proportional to 89,748 and 140,800

Step by Step Solution

1. Step 1: Write the proportion equation
   89,748 : 140,800 = 140,800 : x
2. Step 2: Convert to fraction form
   89,748/140,800 = 140,800/x
3. Step 3: Cross multiply
   89,748x = 140,800 × 140,800
4. Step 4: Simplify right side
   89,748x = 19,824,640,000
5. Step 5: Solve for x
   x = 19,824,640,000/89,748
6. Step 6: Final answer
   x = 220,892.28