Finding the Third Proportional to 140,766 and 293,142

Step by Step Solution

1. Step 1: Write the proportion equation
   140,766 : 293,142 = 293,142 : x
2. Step 2: Convert to fraction form
   140,766/293,142 = 293,142/x
3. Step 3: Cross multiply
   140,766x = 293,142 × 293,142
4. Step 4: Simplify right side
   140,766x = 85,932,232,164
5. Step 5: Solve for x
   x = 85,932,232,164/140,766
6. Step 6: Final answer
   x = 610,461.56