Finding the Third Proportional to 37,106 and 87,504

Step by Step Solution

1. Step 1: Write the proportion equation
   37,106 : 87,504 = 87,504 : x
2. Step 2: Convert to fraction form
   37,106/87,504 = 87,504/x
3. Step 3: Cross multiply
   37,106x = 87,504 × 87,504
4. Step 4: Simplify right side
   37,106x = 7,656,950,016
5. Step 5: Solve for x
   x = 7,656,950,016/37,106
6. Step 6: Final answer
   x = 206,353.42