Finding the Third Proportional to 90,049.50 and 194,064.75

Step by Step Solution

1. Step 1: Write the proportion equation
   90,049.50 : 194,064.75 = 194,064.75 : x
2. Step 2: Convert to fraction form
   90,049.50/194,064.75 = 194,064.75/x
3. Step 3: Cross multiply
   90,049.50x = 194,064.75 × 194,064.75
4. Step 4: Simplify right side
   90,049.50x = 37,661,127,192.56
5. Step 5: Solve for x
   x = 37,661,127,192.56/90,049.50
6. Step 6: Final answer
   x = 418,226.94