Finding the Third Proportional to 77,206.50 and 123,292.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,206.50 : 123,292.50 = 123,292.50 : x
2. Step 2: Convert to fraction form
   77,206.50/123,292.50 = 123,292.50/x
3. Step 3: Cross multiply
   77,206.50x = 123,292.50 × 123,292.50
4. Step 4: Simplify right side
   77,206.50x = 15,201,040,556.25
5. Step 5: Solve for x
   x = 15,201,040,556.25/77,206.50
6. Step 6: Final answer
   x = 196,888.09