Finding the Third Proportional to 86,241 and 188,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,241 : 188,884.50 = 188,884.50 : x
2. Step 2: Convert to fraction form
   86,241/188,884.50 = 188,884.50/x
3. Step 3: Cross multiply
   86,241x = 188,884.50 × 188,884.50
4. Step 4: Simplify right side
   86,241x = 35,677,354,340.25
5. Step 5: Solve for x
   x = 35,677,354,340.25/86,241
6. Step 6: Final answer
   x = 413,693.65