Finding the Third Proportional to 110,200.50 and 185,388.75

Step by Step Solution

1. Step 1: Write the proportion equation
   110,200.50 : 185,388.75 = 185,388.75 : x
2. Step 2: Convert to fraction form
   110,200.50/185,388.75 = 185,388.75/x
3. Step 3: Cross multiply
   110,200.50x = 185,388.75 × 185,388.75
4. Step 4: Simplify right side
   110,200.50x = 34,368,988,626.56
5. Step 5: Solve for x
   x = 34,368,988,626.56/110,200.50
6. Step 6: Final answer
   x = 311,876.88