Finding the Third Proportional to 69,586 and 155,109

Step by Step Solution

1. Step 1: Write the proportion equation
   69,586 : 155,109 = 155,109 : x
2. Step 2: Convert to fraction form
   69,586/155,109 = 155,109/x
3. Step 3: Cross multiply
   69,586x = 155,109 × 155,109
4. Step 4: Simplify right side
   69,586x = 24,058,801,881
5. Step 5: Solve for x
   x = 24,058,801,881/69,586
6. Step 6: Final answer
   x = 345,741.99