Finding the Third Proportional to 123,024 and 183,895

Step by Step Solution

1. Step 1: Write the proportion equation
   123,024 : 183,895 = 183,895 : x
2. Step 2: Convert to fraction form
   123,024/183,895 = 183,895/x
3. Step 3: Cross multiply
   123,024x = 183,895 × 183,895
4. Step 4: Simplify right side
   123,024x = 33,817,371,025
5. Step 5: Solve for x
   x = 33,817,371,025/123,024
6. Step 6: Final answer
   x = 274,884.34