Finding the Third Proportional to 86,242 and 188,516

Step by Step Solution

1. Step 1: Write the proportion equation
   86,242 : 188,516 = 188,516 : x
2. Step 2: Convert to fraction form
   86,242/188,516 = 188,516/x
3. Step 3: Cross multiply
   86,242x = 188,516 × 188,516
4. Step 4: Simplify right side
   86,242x = 35,538,282,256
5. Step 5: Solve for x
   x = 35,538,282,256/86,242
6. Step 6: Final answer
   x = 412,076.28