Finding the Third Proportional to 174,969 and 271,444.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,969 : 271,444.50 = 271,444.50 : x
2. Step 2: Convert to fraction form
   174,969/271,444.50 = 271,444.50/x
3. Step 3: Cross multiply
   174,969x = 271,444.50 × 271,444.50
4. Step 4: Simplify right side
   174,969x = 73,682,116,580.25
5. Step 5: Solve for x
   x = 73,682,116,580.25/174,969
6. Step 6: Final answer
   x = 421,115.26