Finding the Third Proportional to 91,814 and 194,650.75

Step by Step Solution

1. Step 1: Write the proportion equation
   91,814 : 194,650.75 = 194,650.75 : x
2. Step 2: Convert to fraction form
   91,814/194,650.75 = 194,650.75/x
3. Step 3: Cross multiply
   91,814x = 194,650.75 × 194,650.75
4. Step 4: Simplify right side
   91,814x = 37,888,914,475.56
5. Step 5: Solve for x
   x = 37,888,914,475.56/91,814
6. Step 6: Final answer
   x = 412,670.34