Finding the Third Proportional to 114,378 and 165,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,378 : 165,005.50 = 165,005.50 : x
2. Step 2: Convert to fraction form
   114,378/165,005.50 = 165,005.50/x
3. Step 3: Cross multiply
   114,378x = 165,005.50 × 165,005.50
4. Step 4: Simplify right side
   114,378x = 27,226,815,030.25
5. Step 5: Solve for x
   x = 27,226,815,030.25/114,378
6. Step 6: Final answer
   x = 238,042.41