Finding the Third Proportional to 66,585.50 and 142,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,585.50 : 142,647.50 = 142,647.50 : x
2. Step 2: Convert to fraction form
   66,585.50/142,647.50 = 142,647.50/x
3. Step 3: Cross multiply
   66,585.50x = 142,647.50 × 142,647.50
4. Step 4: Simplify right side
   66,585.50x = 20,348,309,256.25
5. Step 5: Solve for x
   x = 20,348,309,256.25/66,585.50
6. Step 6: Final answer
   x = 305,596.70