Finding the Third Proportional to 88,782 and 188,580

Step by Step Solution

1. Step 1: Write the proportion equation
   88,782 : 188,580 = 188,580 : x
2. Step 2: Convert to fraction form
   88,782/188,580 = 188,580/x
3. Step 3: Cross multiply
   88,782x = 188,580 × 188,580
4. Step 4: Simplify right side
   88,782x = 35,562,416,400
5. Step 5: Solve for x
   x = 35,562,416,400/88,782
6. Step 6: Final answer
   x = 400,558.86