Finding the Third Proportional to 123,235.50 and 190,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,235.50 : 190,078.50 = 190,078.50 : x
2. Step 2: Convert to fraction form
   123,235.50/190,078.50 = 190,078.50/x
3. Step 3: Cross multiply
   123,235.50x = 190,078.50 × 190,078.50
4. Step 4: Simplify right side
   123,235.50x = 36,129,836,162.25
5. Step 5: Solve for x
   x = 36,129,836,162.25/123,235.50
6. Step 6: Final answer
   x = 293,177.18