Finding the Third Proportional to 66,592 and 142,662

Step by Step Solution

1. Step 1: Write the proportion equation
   66,592 : 142,662 = 142,662 : x
2. Step 2: Convert to fraction form
   66,592/142,662 = 142,662/x
3. Step 3: Cross multiply
   66,592x = 142,662 × 142,662
4. Step 4: Simplify right side
   66,592x = 20,352,446,244
5. Step 5: Solve for x
   x = 20,352,446,244/66,592
6. Step 6: Final answer
   x = 305,629.00