Finding the Third Proportional to 86,637 and 186,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,637 : 186,166.50 = 186,166.50 : x
2. Step 2: Convert to fraction form
   86,637/186,166.50 = 186,166.50/x
3. Step 3: Cross multiply
   86,637x = 186,166.50 × 186,166.50
4. Step 4: Simplify right side
   86,637x = 34,657,965,722.25
5. Step 5: Solve for x
   x = 34,657,965,722.25/86,637
6. Step 6: Final answer
   x = 400,036.54