Finding the Third Proportional to 39,870 and 86,301

Step by Step Solution

1. Step 1: Write the proportion equation
   39,870 : 86,301 = 86,301 : x
2. Step 2: Convert to fraction form
   39,870/86,301 = 86,301/x
3. Step 3: Cross multiply
   39,870x = 86,301 × 86,301
4. Step 4: Simplify right side
   39,870x = 7,447,862,601
5. Step 5: Solve for x
   x = 7,447,862,601/39,870
6. Step 6: Final answer
   x = 186,803.68