Finding the Third Proportional to 174,978 and 271,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,978 : 271,456.50 = 271,456.50 : x
2. Step 2: Convert to fraction form
   174,978/271,456.50 = 271,456.50/x
3. Step 3: Cross multiply
   174,978x = 271,456.50 × 271,456.50
4. Step 4: Simplify right side
   174,978x = 73,688,631,392.25
5. Step 5: Solve for x
   x = 73,688,631,392.25/174,978
6. Step 6: Final answer
   x = 421,130.84