Finding the Third Proportional to 65,926 and 142,412

Step by Step Solution

1. Step 1: Write the proportion equation
   65,926 : 142,412 = 142,412 : x
2. Step 2: Convert to fraction form
   65,926/142,412 = 142,412/x
3. Step 3: Cross multiply
   65,926x = 142,412 × 142,412
4. Step 4: Simplify right side
   65,926x = 20,281,177,744
5. Step 5: Solve for x
   x = 20,281,177,744/65,926
6. Step 6: Final answer
   x = 307,635.50