Finding the Third Proportional to 114,384.50 and 165,013

Step by Step Solution

1. Step 1: Write the proportion equation
   114,384.50 : 165,013 = 165,013 : x
2. Step 2: Convert to fraction form
   114,384.50/165,013 = 165,013/x
3. Step 3: Cross multiply
   114,384.50x = 165,013 × 165,013
4. Step 4: Simplify right side
   114,384.50x = 27,229,290,169
5. Step 5: Solve for x
   x = 27,229,290,169/114,384.50
6. Step 6: Final answer
   x = 238,050.52