Finding the Third Proportional to 65,508 and 142,140

Step by Step Solution

1. Step 1: Write the proportion equation
   65,508 : 142,140 = 142,140 : x
2. Step 2: Convert to fraction form
   65,508/142,140 = 142,140/x
3. Step 3: Cross multiply
   65,508x = 142,140 × 142,140
4. Step 4: Simplify right side
   65,508x = 20,203,779,600
5. Step 5: Solve for x
   x = 20,203,779,600/65,508
6. Step 6: Final answer
   x = 308,416.98