Finding the Third Proportional to 86,464 and 188,078

Step by Step Solution

1. Step 1: Write the proportion equation
   86,464 : 188,078 = 188,078 : x
2. Step 2: Convert to fraction form
   86,464/188,078 = 188,078/x
3. Step 3: Cross multiply
   86,464x = 188,078 × 188,078
4. Step 4: Simplify right side
   86,464x = 35,373,334,084
5. Step 5: Solve for x
   x = 35,373,334,084/86,464
6. Step 6: Final answer
   x = 409,110.54