Finding the Third Proportional to 138,200 and 301,414

Step by Step Solution

1. Step 1: Write the proportion equation
   138,200 : 301,414 = 301,414 : x
2. Step 2: Convert to fraction form
   138,200/301,414 = 301,414/x
3. Step 3: Cross multiply
   138,200x = 301,414 × 301,414
4. Step 4: Simplify right side
   138,200x = 90,850,399,396
5. Step 5: Solve for x
   x = 90,850,399,396/138,200
6. Step 6: Final answer
   x = 657,383.50