Finding the Third Proportional to 139,114 and 208,701

Step by Step Solution

1. Step 1: Write the proportion equation
   139,114 : 208,701 = 208,701 : x
2. Step 2: Convert to fraction form
   139,114/208,701 = 208,701/x
3. Step 3: Cross multiply
   139,114x = 208,701 × 208,701
4. Step 4: Simplify right side
   139,114x = 43,556,107,401
5. Step 5: Solve for x
   x = 43,556,107,401/139,114
6. Step 6: Final answer
   x = 313,096.51