Finding the Third Proportional to 66,586 and 142,650

Step by Step Solution

1. Step 1: Write the proportion equation
   66,586 : 142,650 = 142,650 : x
2. Step 2: Convert to fraction form
   66,586/142,650 = 142,650/x
3. Step 3: Cross multiply
   66,586x = 142,650 × 142,650
4. Step 4: Simplify right side
   66,586x = 20,349,022,500
5. Step 5: Solve for x
   x = 20,349,022,500/66,586
6. Step 6: Final answer
   x = 305,605.12