Finding the Third Proportional to 137,742 and 301,692

Step by Step Solution

1. Step 1: Write the proportion equation
   137,742 : 301,692 = 301,692 : x
2. Step 2: Convert to fraction form
   137,742/301,692 = 301,692/x
3. Step 3: Cross multiply
   137,742x = 301,692 × 301,692
4. Step 4: Simplify right side
   137,742x = 91,018,062,864
5. Step 5: Solve for x
   x = 91,018,062,864/137,742
6. Step 6: Final answer
   x = 660,786.56