Finding the Third Proportional to 182,023.50 and 271,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,023.50 : 271,630.50 = 271,630.50 : x
2. Step 2: Convert to fraction form
   182,023.50/271,630.50 = 271,630.50/x
3. Step 3: Cross multiply
   182,023.50x = 271,630.50 × 271,630.50
4. Step 4: Simplify right side
   182,023.50x = 73,783,128,530.25
5. Step 5: Solve for x
   x = 73,783,128,530.25/182,023.50
6. Step 6: Final answer
   x = 405,349.47