Finding the Third Proportional to 90,685 and 188,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,685 : 188,727.50 = 188,727.50 : x
2. Step 2: Convert to fraction form
   90,685/188,727.50 = 188,727.50/x
3. Step 3: Cross multiply
   90,685x = 188,727.50 × 188,727.50
4. Step 4: Simplify right side
   90,685x = 35,618,069,256.25
5. Step 5: Solve for x
   x = 35,618,069,256.25/90,685
6. Step 6: Final answer
   x = 392,766.93