Finding the Third Proportional to 89,410.50 and 194,199.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89,410.50 : 194,199.75 = 194,199.75 : x
2. Step 2: Convert to fraction form
   89,410.50/194,199.75 = 194,199.75/x
3. Step 3: Cross multiply
   89,410.50x = 194,199.75 × 194,199.75
4. Step 4: Simplify right side
   89,410.50x = 37,713,542,900.06
5. Step 5: Solve for x
   x = 37,713,542,900.06/89,410.50
6. Step 6: Final answer
   x = 421,802.17