Finding the Third Proportional to 66,825 and 142,389

Step by Step Solution

1. Step 1: Write the proportion equation
   66,825 : 142,389 = 142,389 : x
2. Step 2: Convert to fraction form
   66,825/142,389 = 142,389/x
3. Step 3: Cross multiply
   66,825x = 142,389 × 142,389
4. Step 4: Simplify right side
   66,825x = 20,274,627,321
5. Step 5: Solve for x
   x = 20,274,627,321/66,825
6. Step 6: Final answer
   x = 303,398.84