Finding the Third Proportional to 174,926 and 270,116

Step by Step Solution

1. Step 1: Write the proportion equation
   174,926 : 270,116 = 270,116 : x
2. Step 2: Convert to fraction form
   174,926/270,116 = 270,116/x
3. Step 3: Cross multiply
   174,926x = 270,116 × 270,116
4. Step 4: Simplify right side
   174,926x = 72,962,653,456
5. Step 5: Solve for x
   x = 72,962,653,456/174,926
6. Step 6: Final answer
   x = 417,105.82