Finding the Third Proportional to 81,333 and 122,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,333 : 122,215.50 = 122,215.50 : x
2. Step 2: Convert to fraction form
   81,333/122,215.50 = 122,215.50/x
3. Step 3: Cross multiply
   81,333x = 122,215.50 × 122,215.50
4. Step 4: Simplify right side
   81,333x = 14,936,628,440.25
5. Step 5: Solve for x
   x = 14,936,628,440.25/81,333
6. Step 6: Final answer
   x = 183,647.82