Finding the Third Proportional to 86,685 and 186,301.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,685 : 186,301.50 = 186,301.50 : x
2. Step 2: Convert to fraction form
   86,685/186,301.50 = 186,301.50/x
3. Step 3: Cross multiply
   86,685x = 186,301.50 × 186,301.50
4. Step 4: Simplify right side
   86,685x = 34,708,248,902.25
5. Step 5: Solve for x
   x = 34,708,248,902.25/86,685
6. Step 6: Final answer
   x = 400,395.10