Finding the Third Proportional to 174,998 and 271,488

Step by Step Solution

1. Step 1: Write the proportion equation
   174,998 : 271,488 = 271,488 : x
2. Step 2: Convert to fraction form
   174,998/271,488 = 271,488/x
3. Step 3: Cross multiply
   174,998x = 271,488 × 271,488
4. Step 4: Simplify right side
   174,998x = 73,705,734,144
5. Step 5: Solve for x
   x = 73,705,734,144/174,998
6. Step 6: Final answer
   x = 421,180.44