Finding the Third Proportional to 61,024 and 142,570

Step by Step Solution

1. Step 1: Write the proportion equation
   61,024 : 142,570 = 142,570 : x
2. Step 2: Convert to fraction form
   61,024/142,570 = 142,570/x
3. Step 3: Cross multiply
   61,024x = 142,570 × 142,570
4. Step 4: Simplify right side
   61,024x = 20,326,204,900
5. Step 5: Solve for x
   x = 20,326,204,900/61,024
6. Step 6: Final answer
   x = 333,085.42