Finding the Third Proportional to 123,041 and 175,948.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,041 : 175,948.50 = 175,948.50 : x
2. Step 2: Convert to fraction form
   123,041/175,948.50 = 175,948.50/x
3. Step 3: Cross multiply
   123,041x = 175,948.50 × 175,948.50
4. Step 4: Simplify right side
   123,041x = 30,957,874,652.25
5. Step 5: Solve for x
   x = 30,957,874,652.25/123,041
6. Step 6: Final answer
   x = 251,606.17