Finding the Third Proportional to 191,356 and 417,156

Step by Step Solution

1. Step 1: Write the proportion equation
   191,356 : 417,156 = 417,156 : x
2. Step 2: Convert to fraction form
   191,356/417,156 = 417,156/x
3. Step 3: Cross multiply
   191,356x = 417,156 × 417,156
4. Step 4: Simplify right side
   191,356x = 174,019,128,336
5. Step 5: Solve for x
   x = 174,019,128,336/191,356
6. Step 6: Final answer
   x = 909,399.91