Finding the Third Proportional to 86,049 and 186,397.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,049 : 186,397.50 = 186,397.50 : x
2. Step 2: Convert to fraction form
   86,049/186,397.50 = 186,397.50/x
3. Step 3: Cross multiply
   86,049x = 186,397.50 × 186,397.50
4. Step 4: Simplify right side
   86,049x = 34,744,028,006.25
5. Step 5: Solve for x
   x = 34,744,028,006.25/86,049
6. Step 6: Final answer
   x = 403,770.27