Finding the Third Proportional to 82,191 and 123,759

Step by Step Solution

1. Step 1: Write the proportion equation
   82,191 : 123,759 = 123,759 : x
2. Step 2: Convert to fraction form
   82,191/123,759 = 123,759/x
3. Step 3: Cross multiply
   82,191x = 123,759 × 123,759
4. Step 4: Simplify right side
   82,191x = 15,316,290,081
5. Step 5: Solve for x
   x = 15,316,290,081/82,191
6. Step 6: Final answer
   x = 186,349.97