Finding the Third Proportional to 67,196 and 141,320

Step by Step Solution

1. Step 1: Write the proportion equation
   67,196 : 141,320 = 141,320 : x
2. Step 2: Convert to fraction form
   67,196/141,320 = 141,320/x
3. Step 3: Cross multiply
   67,196x = 141,320 × 141,320
4. Step 4: Simplify right side
   67,196x = 19,971,342,400
5. Step 5: Solve for x
   x = 19,971,342,400/67,196
6. Step 6: Final answer
   x = 297,210.29