Finding the Third Proportional to 114,645 and 165,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,645 : 165,133.50 = 165,133.50 : x
2. Step 2: Convert to fraction form
   114,645/165,133.50 = 165,133.50/x
3. Step 3: Cross multiply
   114,645x = 165,133.50 × 165,133.50
4. Step 4: Simplify right side
   114,645x = 27,269,072,822.25
5. Step 5: Solve for x
   x = 27,269,072,822.25/114,645
6. Step 6: Final answer
   x = 237,856.63