Finding the Third Proportional to 191,832 and 417,264

Step by Step Solution

1. Step 1: Write the proportion equation
   191,832 : 417,264 = 417,264 : x
2. Step 2: Convert to fraction form
   191,832/417,264 = 417,264/x
3. Step 3: Cross multiply
   191,832x = 417,264 × 417,264
4. Step 4: Simplify right side
   191,832x = 174,109,245,696
5. Step 5: Solve for x
   x = 174,109,245,696/191,832
6. Step 6: Final answer
   x = 907,613.15