Finding the Third Proportional to 86,254 and 188,546

Step by Step Solution

1. Step 1: Write the proportion equation
   86,254 : 188,546 = 188,546 : x
2. Step 2: Convert to fraction form
   86,254/188,546 = 188,546/x
3. Step 3: Cross multiply
   86,254x = 188,546 × 188,546
4. Step 4: Simplify right side
   86,254x = 35,549,594,116
5. Step 5: Solve for x
   x = 35,549,594,116/86,254
6. Step 6: Final answer
   x = 412,150.09