Finding the Third Proportional to 140,774 and 293,156

Step by Step Solution

1. Step 1: Write the proportion equation
   140,774 : 293,156 = 293,156 : x
2. Step 2: Convert to fraction form
   140,774/293,156 = 293,156/x
3. Step 3: Cross multiply
   140,774x = 293,156 × 293,156
4. Step 4: Simplify right side
   140,774x = 85,940,440,336
5. Step 5: Solve for x
   x = 85,940,440,336/140,774
6. Step 6: Final answer
   x = 610,485.18