Finding the Third Proportional to 99,690.75 and 194,455.69

Step by Step Solution

1. Step 1: Write the proportion equation
   99,690.75 : 194,455.69 = 194,455.69 : x
2. Step 2: Convert to fraction form
   99,690.75/194,455.69 = 194,455.69/x
3. Step 3: Cross multiply
   99,690.75x = 194,455.69 × 194,455.69
4. Step 4: Simplify right side
   99,690.75x = 37,813,014,401.10
5. Step 5: Solve for x
   x = 37,813,014,401.10/99,690.75
6. Step 6: Final answer
   x = 379,303.14