Finding the Third Proportional to 85,961.50 and 186,867.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,961.50 : 186,867.50 = 186,867.50 : x
2. Step 2: Convert to fraction form
   85,961.50/186,867.50 = 186,867.50/x
3. Step 3: Cross multiply
   85,961.50x = 186,867.50 × 186,867.50
4. Step 4: Simplify right side
   85,961.50x = 34,919,462,556.25
5. Step 5: Solve for x
   x = 34,919,462,556.25/85,961.50
6. Step 6: Final answer
   x = 406,222.12