Finding the Third Proportional to 39,784 and 86,600

Step by Step Solution

1. Step 1: Write the proportion equation
   39,784 : 86,600 = 86,600 : x
2. Step 2: Convert to fraction form
   39,784/86,600 = 86,600/x
3. Step 3: Cross multiply
   39,784x = 86,600 × 86,600
4. Step 4: Simplify right side
   39,784x = 7,499,560,000
5. Step 5: Solve for x
   x = 7,499,560,000/39,784
6. Step 6: Final answer
   x = 188,506.94