Finding the Third Proportional to 114,649.50 and 165,138

Step by Step Solution

1. Step 1: Write the proportion equation
   114,649.50 : 165,138 = 165,138 : x
2. Step 2: Convert to fraction form
   114,649.50/165,138 = 165,138/x
3. Step 3: Cross multiply
   114,649.50x = 165,138 × 165,138
4. Step 4: Simplify right side
   114,649.50x = 27,270,559,044
5. Step 5: Solve for x
   x = 27,270,559,044/114,649.50
6. Step 6: Final answer
   x = 237,860.25