Finding the Third Proportional to 66,139.50 and 142,647

Step by Step Solution

1. Step 1: Write the proportion equation
   66,139.50 : 142,647 = 142,647 : x
2. Step 2: Convert to fraction form
   66,139.50/142,647 = 142,647/x
3. Step 3: Cross multiply
   66,139.50x = 142,647 × 142,647
4. Step 4: Simplify right side
   66,139.50x = 20,348,166,609
5. Step 5: Solve for x
   x = 20,348,166,609/66,139.50
6. Step 6: Final answer
   x = 307,655.28