Finding the Third Proportional to 36,214.50 and 83,904.38

Step by Step Solution

1. Step 1: Write the proportion equation
   36,214.50 : 83,904.38 = 83,904.38 : x
2. Step 2: Convert to fraction form
   36,214.50/83,904.38 = 83,904.38/x
3. Step 3: Cross multiply
   36,214.50x = 83,904.38 × 83,904.38
4. Step 4: Simplify right side
   36,214.50x = 7,039,944,144.14
5. Step 5: Solve for x
   x = 7,039,944,144.14/36,214.50
6. Step 6: Final answer
   x = 194,395.73