Finding the Third Proportional to 81,081 and 164,551.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,081 : 164,551.50 = 164,551.50 : x
2. Step 2: Convert to fraction form
   81,081/164,551.50 = 164,551.50/x
3. Step 3: Cross multiply
   81,081x = 164,551.50 × 164,551.50
4. Step 4: Simplify right side
   81,081x = 27,077,196,152.25
5. Step 5: Solve for x
   x = 27,077,196,152.25/81,081
6. Step 6: Final answer
   x = 333,952.42