Finding the Third Proportional to 81,396 and 122,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,396 : 122,008.50 = 122,008.50 : x
2. Step 2: Convert to fraction form
   81,396/122,008.50 = 122,008.50/x
3. Step 3: Cross multiply
   81,396x = 122,008.50 × 122,008.50
4. Step 4: Simplify right side
   81,396x = 14,886,074,072.25
5. Step 5: Solve for x
   x = 14,886,074,072.25/81,396
6. Step 6: Final answer
   x = 182,884.59