Finding the Third Proportional to 81,846 and 123,073

Step by Step Solution

1. Step 1: Write the proportion equation
   81,846 : 123,073 = 123,073 : x
2. Step 2: Convert to fraction form
   81,846/123,073 = 123,073/x
3. Step 3: Cross multiply
   81,846x = 123,073 × 123,073
4. Step 4: Simplify right side
   81,846x = 15,146,963,329
5. Step 5: Solve for x
   x = 15,146,963,329/81,846
6. Step 6: Final answer
   x = 185,066.63