Finding the Third Proportional to 114,382 and 165,010

Step by Step Solution

1. Step 1: Write the proportion equation
   114,382 : 165,010 = 165,010 : x
2. Step 2: Convert to fraction form
   114,382/165,010 = 165,010/x
3. Step 3: Cross multiply
   114,382x = 165,010 × 165,010
4. Step 4: Simplify right side
   114,382x = 27,228,300,100
5. Step 5: Solve for x
   x = 27,228,300,100/114,382
6. Step 6: Final answer
   x = 238,047.07