Finding the Third Proportional to 89,002.50 and 194,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,002.50 : 194,416.50 = 194,416.50 : x
2. Step 2: Convert to fraction form
   89,002.50/194,416.50 = 194,416.50/x
3. Step 3: Cross multiply
   89,002.50x = 194,416.50 × 194,416.50
4. Step 4: Simplify right side
   89,002.50x = 37,797,775,472.25
5. Step 5: Solve for x
   x = 37,797,775,472.25/89,002.50
6. Step 6: Final answer
   x = 424,682.18