Finding the Third Proportional to 174,288 and 269,262

Step by Step Solution

1. Step 1: Write the proportion equation
   174,288 : 269,262 = 269,262 : x
2. Step 2: Convert to fraction form
   174,288/269,262 = 269,262/x
3. Step 3: Cross multiply
   174,288x = 269,262 × 269,262
4. Step 4: Simplify right side
   174,288x = 72,502,024,644
5. Step 5: Solve for x
   x = 72,502,024,644/174,288
6. Step 6: Final answer
   x = 415,989.77