Finding the Third Proportional to 85,599 and 123,299

Step by Step Solution

1. Step 1: Write the proportion equation
   85,599 : 123,299 = 123,299 : x
2. Step 2: Convert to fraction form
   85,599/123,299 = 123,299/x
3. Step 3: Cross multiply
   85,599x = 123,299 × 123,299
4. Step 4: Simplify right side
   85,599x = 15,202,643,401
5. Step 5: Solve for x
   x = 15,202,643,401/85,599
6. Step 6: Final answer
   x = 177,603.05