Finding the Third Proportional to 123,066 and 290,349

Step by Step Solution

1. Step 1: Write the proportion equation
   123,066 : 290,349 = 290,349 : x
2. Step 2: Convert to fraction form
   123,066/290,349 = 290,349/x
3. Step 3: Cross multiply
   123,066x = 290,349 × 290,349
4. Step 4: Simplify right side
   123,066x = 84,302,541,801
5. Step 5: Solve for x
   x = 84,302,541,801/123,066
6. Step 6: Final answer
   x = 685,018.95