Finding the Third Proportional to 73,899 and 114,661

Step by Step Solution

1. Step 1: Write the proportion equation
   73,899 : 114,661 = 114,661 : x
2. Step 2: Convert to fraction form
   73,899/114,661 = 114,661/x
3. Step 3: Cross multiply
   73,899x = 114,661 × 114,661
4. Step 4: Simplify right side
   73,899x = 13,147,144,921
5. Step 5: Solve for x
   x = 13,147,144,921/73,899
6. Step 6: Final answer
   x = 177,906.94