Finding the Third Proportional to 69,340 and 141,966

Step by Step Solution

1. Step 1: Write the proportion equation
   69,340 : 141,966 = 141,966 : x
2. Step 2: Convert to fraction form
   69,340/141,966 = 141,966/x
3. Step 3: Cross multiply
   69,340x = 141,966 × 141,966
4. Step 4: Simplify right side
   69,340x = 20,154,345,156
5. Step 5: Solve for x
   x = 20,154,345,156/69,340
6. Step 6: Final answer
   x = 290,659.72