Finding the Third Proportional to 85,841 and 130,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,841 : 130,760.50 = 130,760.50 : x
2. Step 2: Convert to fraction form
   85,841/130,760.50 = 130,760.50/x
3. Step 3: Cross multiply
   85,841x = 130,760.50 × 130,760.50
4. Step 4: Simplify right side
   85,841x = 17,098,308,360.25
5. Step 5: Solve for x
   x = 17,098,308,360.25/85,841
6. Step 6: Final answer
   x = 199,185.80