Finding the Third Proportional to 182,884.50 and 274,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,884.50 : 274,333.50 = 274,333.50 : x
2. Step 2: Convert to fraction form
   182,884.50/274,333.50 = 274,333.50/x
3. Step 3: Cross multiply
   182,884.50x = 274,333.50 × 274,333.50
4. Step 4: Simplify right side
   182,884.50x = 75,258,869,222.25
5. Step 5: Solve for x
   x = 75,258,869,222.25/182,884.50
6. Step 6: Final answer
   x = 411,510.38