Finding the Third Proportional to 293,997.50 and 414,026

Step by Step Solution

1. Step 1: Write the proportion equation
   293,997.50 : 414,026 = 414,026 : x
2. Step 2: Convert to fraction form
   293,997.50/414,026 = 414,026/x
3. Step 3: Cross multiply
   293,997.50x = 414,026 × 414,026
4. Step 4: Simplify right side
   293,997.50x = 171,417,528,676
5. Step 5: Solve for x
   x = 171,417,528,676/293,997.50
6. Step 6: Final answer
   x = 583,057.78