Finding the Third Proportional to 123,880 and 186,100

Step by Step Solution

1. Step 1: Write the proportion equation
   123,880 : 186,100 = 186,100 : x
2. Step 2: Convert to fraction form
   123,880/186,100 = 186,100/x
3. Step 3: Cross multiply
   123,880x = 186,100 × 186,100
4. Step 4: Simplify right side
   123,880x = 34,633,210,000
5. Step 5: Solve for x
   x = 34,633,210,000/123,880
6. Step 6: Final answer
   x = 279,570.63