Finding the Third Proportional to 191,776 and 417,014

Step by Step Solution

1. Step 1: Write the proportion equation
   191,776 : 417,014 = 417,014 : x
2. Step 2: Convert to fraction form
   191,776/417,014 = 417,014/x
3. Step 3: Cross multiply
   191,776x = 417,014 × 417,014
4. Step 4: Simplify right side
   191,776x = 173,900,676,196
5. Step 5: Solve for x
   x = 173,900,676,196/191,776
6. Step 6: Final answer
   x = 906,790.61