Finding the Third Proportional to 77,559 and 123,010.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,559 : 123,010.50 = 123,010.50 : x
2. Step 2: Convert to fraction form
   77,559/123,010.50 = 123,010.50/x
3. Step 3: Cross multiply
   77,559x = 123,010.50 × 123,010.50
4. Step 4: Simplify right side
   77,559x = 15,131,583,110.25
5. Step 5: Solve for x
   x = 15,131,583,110.25/77,559
6. Step 6: Final answer
   x = 195,097.71