Finding the Third Proportional to 61,022 and 142,565

Step by Step Solution

1. Step 1: Write the proportion equation
   61,022 : 142,565 = 142,565 : x
2. Step 2: Convert to fraction form
   61,022/142,565 = 142,565/x
3. Step 3: Cross multiply
   61,022x = 142,565 × 142,565
4. Step 4: Simplify right side
   61,022x = 20,324,779,225
5. Step 5: Solve for x
   x = 20,324,779,225/61,022
6. Step 6: Final answer
   x = 333,072.98