Finding the Third Proportional to 88,992 and 193,779

Step by Step Solution

1. Step 1: Write the proportion equation
   88,992 : 193,779 = 193,779 : x
2. Step 2: Convert to fraction form
   88,992/193,779 = 193,779/x
3. Step 3: Cross multiply
   88,992x = 193,779 × 193,779
4. Step 4: Simplify right side
   88,992x = 37,550,300,841
5. Step 5: Solve for x
   x = 37,550,300,841/88,992
6. Step 6: Final answer
   x = 421,951.42