Finding the Third Proportional to 82,258 and 123,995

Step by Step Solution

1. Step 1: Write the proportion equation
   82,258 : 123,995 = 123,995 : x
2. Step 2: Convert to fraction form
   82,258/123,995 = 123,995/x
3. Step 3: Cross multiply
   82,258x = 123,995 × 123,995
4. Step 4: Simplify right side
   82,258x = 15,374,760,025
5. Step 5: Solve for x
   x = 15,374,760,025/82,258
6. Step 6: Final answer
   x = 186,908.99