Finding the Third Proportional to 123,391 and 186,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,391 : 186,605.50 = 186,605.50 : x
2. Step 2: Convert to fraction form
   123,391/186,605.50 = 186,605.50/x
3. Step 3: Cross multiply
   123,391x = 186,605.50 × 186,605.50
4. Step 4: Simplify right side
   123,391x = 34,821,612,630.25
5. Step 5: Solve for x
   x = 34,821,612,630.25/123,391
6. Step 6: Final answer
   x = 282,205.45