Finding the Third Proportional to 139,818 and 209,742

Step by Step Solution

1. Step 1: Write the proportion equation
   139,818 : 209,742 = 209,742 : x
2. Step 2: Convert to fraction form
   139,818/209,742 = 209,742/x
3. Step 3: Cross multiply
   139,818x = 209,742 × 209,742
4. Step 4: Simplify right side
   139,818x = 43,991,706,564
5. Step 5: Solve for x
   x = 43,991,706,564/139,818
6. Step 6: Final answer
   x = 314,635.50