Finding the Third Proportional to 78,758.50 and 123,201.75

Step by Step Solution

1. Step 1: Write the proportion equation
   78,758.50 : 123,201.75 = 123,201.75 : x
2. Step 2: Convert to fraction form
   78,758.50/123,201.75 = 123,201.75/x
3. Step 3: Cross multiply
   78,758.50x = 123,201.75 × 123,201.75
4. Step 4: Simplify right side
   78,758.50x = 15,178,671,203.06
5. Step 5: Solve for x
   x = 15,178,671,203.06/78,758.50
6. Step 6: Final answer
   x = 192,724.23