Finding the Third Proportional to 89,700 and 142,758

Step by Step Solution

1. Step 1: Write the proportion equation
   89,700 : 142,758 = 142,758 : x
2. Step 2: Convert to fraction form
   89,700/142,758 = 142,758/x
3. Step 3: Cross multiply
   89,700x = 142,758 × 142,758
4. Step 4: Simplify right side
   89,700x = 20,379,846,564
5. Step 5: Solve for x
   x = 20,379,846,564/89,700
6. Step 6: Final answer
   x = 227,200.07