Finding the Third Proportional to 81,864 and 123,099.75

Step by Step Solution

1. Step 1: Write the proportion equation
   81,864 : 123,099.75 = 123,099.75 : x
2. Step 2: Convert to fraction form
   81,864/123,099.75 = 123,099.75/x
3. Step 3: Cross multiply
   81,864x = 123,099.75 × 123,099.75
4. Step 4: Simplify right side
   81,864x = 15,153,548,450.06
5. Step 5: Solve for x
   x = 15,153,548,450.06/81,864
6. Step 6: Final answer
   x = 185,106.38