Finding the Third Proportional to 114,383 and 165,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,383 : 165,011.50 = 165,011.50 : x
2. Step 2: Convert to fraction form
   114,383/165,011.50 = 165,011.50/x
3. Step 3: Cross multiply
   114,383x = 165,011.50 × 165,011.50
4. Step 4: Simplify right side
   114,383x = 27,228,795,132.25
5. Step 5: Solve for x
   x = 27,228,795,132.25/114,383
6. Step 6: Final answer
   x = 238,049.32