Finding the Third Proportional to 127,592 and 188,478

Step by Step Solution

1. Step 1: Write the proportion equation
   127,592 : 188,478 = 188,478 : x
2. Step 2: Convert to fraction form
   127,592/188,478 = 188,478/x
3. Step 3: Cross multiply
   127,592x = 188,478 × 188,478
4. Step 4: Simplify right side
   127,592x = 35,523,956,484
5. Step 5: Solve for x
   x = 35,523,956,484/127,592
6. Step 6: Final answer
   x = 278,418.37