Finding the Third Proportional to 182,750 and 274,125.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,750 : 274,125.50 = 274,125.50 : x
2. Step 2: Convert to fraction form
   182,750/274,125.50 = 274,125.50/x
3. Step 3: Cross multiply
   182,750x = 274,125.50 × 274,125.50
4. Step 4: Simplify right side
   182,750x = 75,144,789,750.25
5. Step 5: Solve for x
   x = 75,144,789,750.25/182,750
6. Step 6: Final answer
   x = 411,189.00