Finding the Third Proportional to 91,846 and 194,716

Step by Step Solution

1. Step 1: Write the proportion equation
   91,846 : 194,716 = 194,716 : x
2. Step 2: Convert to fraction form
   91,846/194,716 = 194,716/x
3. Step 3: Cross multiply
   91,846x = 194,716 × 194,716
4. Step 4: Simplify right side
   91,846x = 37,914,320,656
5. Step 5: Solve for x
   x = 37,914,320,656/91,846
6. Step 6: Final answer
   x = 412,803.18