Finding the Third Proportional to 65,934 and 123,666.75

Step by Step Solution

1. Step 1: Write the proportion equation
   65,934 : 123,666.75 = 123,666.75 : x
2. Step 2: Convert to fraction form
   65,934/123,666.75 = 123,666.75/x
3. Step 3: Cross multiply
   65,934x = 123,666.75 × 123,666.75
4. Step 4: Simplify right side
   65,934x = 15,293,465,055.56
5. Step 5: Solve for x
   x = 15,293,465,055.56/65,934
6. Step 6: Final answer
   x = 231,951.12