Finding the Third Proportional to 114,380 and 165,008

Step by Step Solution

1. Step 1: Write the proportion equation
   114,380 : 165,008 = 165,008 : x
2. Step 2: Convert to fraction form
   114,380/165,008 = 165,008/x
3. Step 3: Cross multiply
   114,380x = 165,008 × 165,008
4. Step 4: Simplify right side
   114,380x = 27,227,640,064
5. Step 5: Solve for x
   x = 27,227,640,064/114,380
6. Step 6: Final answer
   x = 238,045.46