Finding the Third Proportional to 86,859 and 188,946

Step by Step Solution

1. Step 1: Write the proportion equation
   86,859 : 188,946 = 188,946 : x
2. Step 2: Convert to fraction form
   86,859/188,946 = 188,946/x
3. Step 3: Cross multiply
   86,859x = 188,946 × 188,946
4. Step 4: Simplify right side
   86,859x = 35,700,590,916
5. Step 5: Solve for x
   x = 35,700,590,916/86,859
6. Step 6: Final answer
   x = 411,017.75