Finding the Third Proportional to 66,516 and 142,256

Step by Step Solution

1. Step 1: Write the proportion equation
   66,516 : 142,256 = 142,256 : x
2. Step 2: Convert to fraction form
   66,516/142,256 = 142,256/x
3. Step 3: Cross multiply
   66,516x = 142,256 × 142,256
4. Step 4: Simplify right side
   66,516x = 20,236,769,536
5. Step 5: Solve for x
   x = 20,236,769,536/66,516
6. Step 6: Final answer
   x = 304,239.12