Finding the Third Proportional to 55,649 and 114,032

Step by Step Solution

1. Step 1: Write the proportion equation
   55,649 : 114,032 = 114,032 : x
2. Step 2: Convert to fraction form
   55,649/114,032 = 114,032/x
3. Step 3: Cross multiply
   55,649x = 114,032 × 114,032
4. Step 4: Simplify right side
   55,649x = 13,003,297,024
5. Step 5: Solve for x
   x = 13,003,297,024/55,649
6. Step 6: Final answer
   x = 233,666.32