Finding the Third Proportional to 182,753 and 274,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,753 : 274,128.50 = 274,128.50 : x
2. Step 2: Convert to fraction form
   182,753/274,128.50 = 274,128.50/x
3. Step 3: Cross multiply
   182,753x = 274,128.50 × 274,128.50
4. Step 4: Simplify right side
   182,753x = 75,146,434,512.25
5. Step 5: Solve for x
   x = 75,146,434,512.25/182,753
6. Step 6: Final answer
   x = 411,191.25