Finding the Third Proportional to 37,080 and 87,494

Step by Step Solution

1. Step 1: Write the proportion equation
   37,080 : 87,494 = 87,494 : x
2. Step 2: Convert to fraction form
   37,080/87,494 = 87,494/x
3. Step 3: Cross multiply
   37,080x = 87,494 × 87,494
4. Step 4: Simplify right side
   37,080x = 7,655,200,036
5. Step 5: Solve for x
   x = 7,655,200,036/37,080
6. Step 6: Final answer
   x = 206,450.92