Finding the Third Proportional to 66,850 and 142,596

Step by Step Solution

1. Step 1: Write the proportion equation
   66,850 : 142,596 = 142,596 : x
2. Step 2: Convert to fraction form
   66,850/142,596 = 142,596/x
3. Step 3: Cross multiply
   66,850x = 142,596 × 142,596
4. Step 4: Simplify right side
   66,850x = 20,333,619,216
5. Step 5: Solve for x
   x = 20,333,619,216/66,850
6. Step 6: Final answer
   x = 304,167.83