Finding the Third Proportional to 140,766 and 293,182

Step by Step Solution

1. Step 1: Write the proportion equation
   140,766 : 293,182 = 293,182 : x
2. Step 2: Convert to fraction form
   140,766/293,182 = 293,182/x
3. Step 3: Cross multiply
   140,766x = 293,182 × 293,182
4. Step 4: Simplify right side
   140,766x = 85,955,685,124
5. Step 5: Solve for x
   x = 85,955,685,124/140,766
6. Step 6: Final answer
   x = 610,628.17