Finding the Third Proportional to 123,161.25 and 185,288.63

Step by Step Solution

1. Step 1: Write the proportion equation
   123,161.25 : 185,288.63 = 185,288.63 : x
2. Step 2: Convert to fraction form
   123,161.25/185,288.63 = 185,288.63/x
3. Step 3: Cross multiply
   123,161.25x = 185,288.63 × 185,288.63
4. Step 4: Simplify right side
   123,161.25x = 34,331,874,554.39
5. Step 5: Solve for x
   x = 34,331,874,554.39/123,161.25
6. Step 6: Final answer
   x = 278,755.49