Finding the Third Proportional to 191,834 and 417,268

Step by Step Solution

1. Step 1: Write the proportion equation
   191,834 : 417,268 = 417,268 : x
2. Step 2: Convert to fraction form
   191,834/417,268 = 417,268/x
3. Step 3: Cross multiply
   191,834x = 417,268 × 417,268
4. Step 4: Simplify right side
   191,834x = 174,112,583,824
5. Step 5: Solve for x
   x = 174,112,583,824/191,834
6. Step 6: Final answer
   x = 907,621.09