Finding the Third Proportional to 86,530.50 and 185,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,530.50 : 185,998.50 = 185,998.50 : x
2. Step 2: Convert to fraction form
   86,530.50/185,998.50 = 185,998.50/x
3. Step 3: Cross multiply
   86,530.50x = 185,998.50 × 185,998.50
4. Step 4: Simplify right side
   86,530.50x = 34,595,442,002.25
5. Step 5: Solve for x
   x = 34,595,442,002.25/86,530.50
6. Step 6: Final answer
   x = 399,806.33