Finding the Third Proportional to 85,840 and 115,510

Step by Step Solution

1. Step 1: Write the proportion equation
   85,840 : 115,510 = 115,510 : x
2. Step 2: Convert to fraction form
   85,840/115,510 = 115,510/x
3. Step 3: Cross multiply
   85,840x = 115,510 × 115,510
4. Step 4: Simplify right side
   85,840x = 13,342,560,100
5. Step 5: Solve for x
   x = 13,342,560,100/85,840
6. Step 6: Final answer
   x = 155,435.23