Finding the Third Proportional to 65,412 and 142,632

Step by Step Solution

1. Step 1: Write the proportion equation
   65,412 : 142,632 = 142,632 : x
2. Step 2: Convert to fraction form
   65,412/142,632 = 142,632/x
3. Step 3: Cross multiply
   65,412x = 142,632 × 142,632
4. Step 4: Simplify right side
   65,412x = 20,343,887,424
5. Step 5: Solve for x
   x = 20,343,887,424/65,412
6. Step 6: Final answer
   x = 311,011.55