Finding the Third Proportional to 82,199 and 123,393

Step by Step Solution

1. Step 1: Write the proportion equation
   82,199 : 123,393 = 123,393 : x
2. Step 2: Convert to fraction form
   82,199/123,393 = 123,393/x
3. Step 3: Cross multiply
   82,199x = 123,393 × 123,393
4. Step 4: Simplify right side
   82,199x = 15,225,832,449
5. Step 5: Solve for x
   x = 15,225,832,449/82,199
6. Step 6: Final answer
   x = 185,231.36