Finding the Third Proportional to 81,811 and 115,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,811 : 115,180.50 = 115,180.50 : x
2. Step 2: Convert to fraction form
   81,811/115,180.50 = 115,180.50/x
3. Step 3: Cross multiply
   81,811x = 115,180.50 × 115,180.50
4. Step 4: Simplify right side
   81,811x = 13,266,547,580.25
5. Step 5: Solve for x
   x = 13,266,547,580.25/81,811
6. Step 6: Final answer
   x = 162,160.93