Finding the Third Proportional to 138,128.38 and 194,967.38

Step by Step Solution

1. Step 1: Write the proportion equation
   138,128.38 : 194,967.38 = 194,967.38 : x
2. Step 2: Convert to fraction form
   138,128.38/194,967.38 = 194,967.38/x
3. Step 3: Cross multiply
   138,128.38x = 194,967.38 × 194,967.38
4. Step 4: Simplify right side
   138,128.38x = 38,012,277,314.39
5. Step 5: Solve for x
   x = 38,012,277,314.39/138,128.38
6. Step 6: Final answer
   x = 275,195.28