Finding the Third Proportional to 91,876.78 and 194,779.69

Step by Step Solution

1. Step 1: Write the proportion equation
   91,876.78 : 194,779.69 = 194,779.69 : x
2. Step 2: Convert to fraction form
   91,876.78/194,779.69 = 194,779.69/x
3. Step 3: Cross multiply
   91,876.78x = 194,779.69 × 194,779.69
4. Step 4: Simplify right side
   91,876.78x = 37,939,126,662.60
5. Step 5: Solve for x
   x = 37,939,126,662.60/91,876.78
6. Step 6: Final answer
   x = 412,934.87