Finding the Third Proportional to 139,846 and 209,770

Step by Step Solution

1. Step 1: Write the proportion equation
   139,846 : 209,770 = 209,770 : x
2. Step 2: Convert to fraction form
   139,846/209,770 = 209,770/x
3. Step 3: Cross multiply
   139,846x = 209,770 × 209,770
4. Step 4: Simplify right side
   139,846x = 44,003,452,900
5. Step 5: Solve for x
   x = 44,003,452,900/139,846
6. Step 6: Final answer
   x = 314,656.50