Finding the Third Proportional to 63,692 and 137,762

Step by Step Solution

1. Step 1: Write the proportion equation
   63,692 : 137,762 = 137,762 : x
2. Step 2: Convert to fraction form
   63,692/137,762 = 137,762/x
3. Step 3: Cross multiply
   63,692x = 137,762 × 137,762
4. Step 4: Simplify right side
   63,692x = 18,978,368,644
5. Step 5: Solve for x
   x = 18,978,368,644/63,692
6. Step 6: Final answer
   x = 297,971.00