Finding the Third Proportional to 123,537 and 186,323

Step by Step Solution

1. Step 1: Write the proportion equation
   123,537 : 186,323 = 186,323 : x
2. Step 2: Convert to fraction form
   123,537/186,323 = 186,323/x
3. Step 3: Cross multiply
   123,537x = 186,323 × 186,323
4. Step 4: Simplify right side
   123,537x = 34,716,260,329
5. Step 5: Solve for x
   x = 34,716,260,329/123,537
6. Step 6: Final answer
   x = 281,019.13