Finding the Third Proportional to 67,830 and 141,852

Step by Step Solution

1. Step 1: Write the proportion equation
   67,830 : 141,852 = 141,852 : x
2. Step 2: Convert to fraction form
   67,830/141,852 = 141,852/x
3. Step 3: Cross multiply
   67,830x = 141,852 × 141,852
4. Step 4: Simplify right side
   67,830x = 20,121,989,904
5. Step 5: Solve for x
   x = 20,121,989,904/67,830
6. Step 6: Final answer
   x = 296,653.25