Finding the Third Proportional to 82,338 and 127,112

Step by Step Solution

1. Step 1: Write the proportion equation
   82,338 : 127,112 = 127,112 : x
2. Step 2: Convert to fraction form
   82,338/127,112 = 127,112/x
3. Step 3: Cross multiply
   82,338x = 127,112 × 127,112
4. Step 4: Simplify right side
   82,338x = 16,157,460,544
5. Step 5: Solve for x
   x = 16,157,460,544/82,338
6. Step 6: Final answer
   x = 196,233.34