Finding the Third Proportional to 114,906 and 165,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,906 : 165,496.50 = 165,496.50 : x
2. Step 2: Convert to fraction form
   114,906/165,496.50 = 165,496.50/x
3. Step 3: Cross multiply
   114,906x = 165,496.50 × 165,496.50
4. Step 4: Simplify right side
   114,906x = 27,389,091,512.25
5. Step 5: Solve for x
   x = 27,389,091,512.25/114,906
6. Step 6: Final answer
   x = 238,360.85