Finding the Third Proportional to 182,281.50 and 271,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,281.50 : 271,543.50 = 271,543.50 : x
2. Step 2: Convert to fraction form
   182,281.50/271,543.50 = 271,543.50/x
3. Step 3: Cross multiply
   182,281.50x = 271,543.50 × 271,543.50
4. Step 4: Simplify right side
   182,281.50x = 73,735,872,392.25
5. Step 5: Solve for x
   x = 73,735,872,392.25/182,281.50
6. Step 6: Final answer
   x = 404,516.49