Finding the Third Proportional to 174,738 and 410,762

Step by Step Solution

1. Step 1: Write the proportion equation
   174,738 : 410,762 = 410,762 : x
2. Step 2: Convert to fraction form
   174,738/410,762 = 410,762/x
3. Step 3: Cross multiply
   174,738x = 410,762 × 410,762
4. Step 4: Simplify right side
   174,738x = 168,725,420,644
5. Step 5: Solve for x
   x = 168,725,420,644/174,738
6. Step 6: Final answer
   x = 965,590.89