Finding the Third Proportional to 66,500 and 142,341

Step by Step Solution

1. Step 1: Write the proportion equation
   66,500 : 142,341 = 142,341 : x
2. Step 2: Convert to fraction form
   66,500/142,341 = 142,341/x
3. Step 3: Cross multiply
   66,500x = 142,341 × 142,341
4. Step 4: Simplify right side
   66,500x = 20,260,960,281
5. Step 5: Solve for x
   x = 20,260,960,281/66,500
6. Step 6: Final answer
   x = 304,676.09