Finding the Third Proportional to 37,148 and 87,605

Step by Step Solution

1. Step 1: Write the proportion equation
   37,148 : 87,605 = 87,605 : x
2. Step 2: Convert to fraction form
   37,148/87,605 = 87,605/x
3. Step 3: Cross multiply
   37,148x = 87,605 × 87,605
4. Step 4: Simplify right side
   37,148x = 7,674,636,025
5. Step 5: Solve for x
   x = 7,674,636,025/37,148
6. Step 6: Final answer
   x = 206,596.21