Finding the Third Proportional to 140,856 and 293,406

Step by Step Solution

1. Step 1: Write the proportion equation
   140,856 : 293,406 = 293,406 : x
2. Step 2: Convert to fraction form
   140,856/293,406 = 293,406/x
3. Step 3: Cross multiply
   140,856x = 293,406 × 293,406
4. Step 4: Simplify right side
   140,856x = 86,087,080,836
5. Step 5: Solve for x
   x = 86,087,080,836/140,856
6. Step 6: Final answer
   x = 611,170.85