Finding the Third Proportional to 40,300 and 86,547

Step by Step Solution

1. Step 1: Write the proportion equation
   40,300 : 86,547 = 86,547 : x
2. Step 2: Convert to fraction form
   40,300/86,547 = 86,547/x
3. Step 3: Cross multiply
   40,300x = 86,547 × 86,547
4. Step 4: Simplify right side
   40,300x = 7,490,383,209
5. Step 5: Solve for x
   x = 7,490,383,209/40,300
6. Step 6: Final answer
   x = 185,865.59