Finding the Third Proportional to 139,266 and 209,208

Step by Step Solution

1. Step 1: Write the proportion equation
   139,266 : 209,208 = 209,208 : x
2. Step 2: Convert to fraction form
   139,266/209,208 = 209,208/x
3. Step 3: Cross multiply
   139,266x = 209,208 × 209,208
4. Step 4: Simplify right side
   139,266x = 43,767,987,264
5. Step 5: Solve for x
   x = 43,767,987,264/139,266
6. Step 6: Final answer
   x = 314,276.19