Finding the Third Proportional to 127,666.13 and 194,779.69

Step by Step Solution

1. Step 1: Write the proportion equation
   127,666.13 : 194,779.69 = 194,779.69 : x
2. Step 2: Convert to fraction form
   127,666.13/194,779.69 = 194,779.69/x
3. Step 3: Cross multiply
   127,666.13x = 194,779.69 × 194,779.69
4. Step 4: Simplify right side
   127,666.13x = 37,939,126,662.60
5. Step 5: Solve for x
   x = 37,939,126,662.60/127,666.13
6. Step 6: Final answer
   x = 297,174.58