Finding the Third Proportional to 140,758 and 293,126

Step by Step Solution

1. Step 1: Write the proportion equation
   140,758 : 293,126 = 293,126 : x
2. Step 2: Convert to fraction form
   140,758/293,126 = 293,126/x
3. Step 3: Cross multiply
   140,758x = 293,126 × 293,126
4. Step 4: Simplify right side
   140,758x = 85,922,851,876
5. Step 5: Solve for x
   x = 85,922,851,876/140,758
6. Step 6: Final answer
   x = 610,429.62