Finding the Third Proportional to 86,254 and 188,540

Step by Step Solution

1. Step 1: Write the proportion equation
   86,254 : 188,540 = 188,540 : x
2. Step 2: Convert to fraction form
   86,254/188,540 = 188,540/x
3. Step 3: Cross multiply
   86,254x = 188,540 × 188,540
4. Step 4: Simplify right side
   86,254x = 35,547,331,600
5. Step 5: Solve for x
   x = 35,547,331,600/86,254
6. Step 6: Final answer
   x = 412,123.86