Finding the Third Proportional to 191,762 and 417,098

Step by Step Solution

1. Step 1: Write the proportion equation
   191,762 : 417,098 = 417,098 : x
2. Step 2: Convert to fraction form
   191,762/417,098 = 417,098/x
3. Step 3: Cross multiply
   191,762x = 417,098 × 417,098
4. Step 4: Simplify right side
   191,762x = 173,970,741,604
5. Step 5: Solve for x
   x = 173,970,741,604/191,762
6. Step 6: Final answer
   x = 907,222.19