Finding the Third Proportional to 65,292 and 142,887

Step by Step Solution

1. Step 1: Write the proportion equation
   65,292 : 142,887 = 142,887 : x
2. Step 2: Convert to fraction form
   65,292/142,887 = 142,887/x
3. Step 3: Cross multiply
   65,292x = 142,887 × 142,887
4. Step 4: Simplify right side
   65,292x = 20,416,694,769
5. Step 5: Solve for x
   x = 20,416,694,769/65,292
6. Step 6: Final answer
   x = 312,698.26