Finding the Third Proportional to 191,778.50 and 417,019

Step by Step Solution

1. Step 1: Write the proportion equation
   191,778.50 : 417,019 = 417,019 : x
2. Step 2: Convert to fraction form
   191,778.50/417,019 = 417,019/x
3. Step 3: Cross multiply
   191,778.50x = 417,019 × 417,019
4. Step 4: Simplify right side
   191,778.50x = 173,904,846,361
5. Step 5: Solve for x
   x = 173,904,846,361/191,778.50
6. Step 6: Final answer
   x = 906,800.53