Finding the Third Proportional to 82,388 and 123,298

Step by Step Solution

1. Step 1: Write the proportion equation
   82,388 : 123,298 = 123,298 : x
2. Step 2: Convert to fraction form
   82,388/123,298 = 123,298/x
3. Step 3: Cross multiply
   82,388x = 123,298 × 123,298
4. Step 4: Simplify right side
   82,388x = 15,202,396,804
5. Step 5: Solve for x
   x = 15,202,396,804/82,388
6. Step 6: Final answer
   x = 184,521.98