Finding the Third Proportional to 123,876 and 186,094

Step by Step Solution

1. Step 1: Write the proportion equation
   123,876 : 186,094 = 186,094 : x
2. Step 2: Convert to fraction form
   123,876/186,094 = 186,094/x
3. Step 3: Cross multiply
   123,876x = 186,094 × 186,094
4. Step 4: Simplify right side
   123,876x = 34,630,976,836
5. Step 5: Solve for x
   x = 34,630,976,836/123,876
6. Step 6: Final answer
   x = 279,561.63