Finding the Third Proportional to 66,632 and 142,740

Step by Step Solution

1. Step 1: Write the proportion equation
   66,632 : 142,740 = 142,740 : x
2. Step 2: Convert to fraction form
   66,632/142,740 = 142,740/x
3. Step 3: Cross multiply
   66,632x = 142,740 × 142,740
4. Step 4: Simplify right side
   66,632x = 20,374,707,600
5. Step 5: Solve for x
   x = 20,374,707,600/66,632
6. Step 6: Final answer
   x = 305,779.62