Finding the Third Proportional to 123,690 and 186,681

Step by Step Solution

1. Step 1: Write the proportion equation
   123,690 : 186,681 = 186,681 : x
2. Step 2: Convert to fraction form
   123,690/186,681 = 186,681/x
3. Step 3: Cross multiply
   123,690x = 186,681 × 186,681
4. Step 4: Simplify right side
   123,690x = 34,849,795,761
5. Step 5: Solve for x
   x = 34,849,795,761/123,690
6. Step 6: Final answer
   x = 281,751.12