Finding the Third Proportional to 174,522 and 256,238

Step by Step Solution

1. Step 1: Write the proportion equation
   174,522 : 256,238 = 256,238 : x
2. Step 2: Convert to fraction form
   174,522/256,238 = 256,238/x
3. Step 3: Cross multiply
   174,522x = 256,238 × 256,238
4. Step 4: Simplify right side
   174,522x = 65,657,912,644
5. Step 5: Solve for x
   x = 65,657,912,644/174,522
6. Step 6: Final answer
   x = 376,215.68