Finding the Third Proportional to 90,288.75 and 194,452.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,288.75 : 194,452.50 = 194,452.50 : x
2. Step 2: Convert to fraction form
   90,288.75/194,452.50 = 194,452.50/x
3. Step 3: Cross multiply
   90,288.75x = 194,452.50 × 194,452.50
4. Step 4: Simplify right side
   90,288.75x = 37,811,774,756.25
5. Step 5: Solve for x
   x = 37,811,774,756.25/90,288.75
6. Step 6: Final answer
   x = 418,787.22