Finding the Third Proportional to 86,870 and 187,581

Step by Step Solution

1. Step 1: Write the proportion equation
   86,870 : 187,581 = 187,581 : x
2. Step 2: Convert to fraction form
   86,870/187,581 = 187,581/x
3. Step 3: Cross multiply
   86,870x = 187,581 × 187,581
4. Step 4: Simplify right side
   86,870x = 35,186,631,561
5. Step 5: Solve for x
   x = 35,186,631,561/86,870
6. Step 6: Final answer
   x = 405,049.29