Finding the Third Proportional to 65,427 and 142,758

Step by Step Solution

1. Step 1: Write the proportion equation
   65,427 : 142,758 = 142,758 : x
2. Step 2: Convert to fraction form
   65,427/142,758 = 142,758/x
3. Step 3: Cross multiply
   65,427x = 142,758 × 142,758
4. Step 4: Simplify right side
   65,427x = 20,379,846,564
5. Step 5: Solve for x
   x = 20,379,846,564/65,427
6. Step 6: Final answer
   x = 311,489.85