Finding the Third Proportional to 65,127 and 142,722

Step by Step Solution

1. Step 1: Write the proportion equation
   65,127 : 142,722 = 142,722 : x
2. Step 2: Convert to fraction form
   65,127/142,722 = 142,722/x
3. Step 3: Cross multiply
   65,127x = 142,722 × 142,722
4. Step 4: Simplify right side
   65,127x = 20,369,569,284
5. Step 5: Solve for x
   x = 20,369,569,284/65,127
6. Step 6: Final answer
   x = 312,766.89