Finding the Third Proportional to 88,296 and 191,648

Step by Step Solution

1. Step 1: Write the proportion equation
   88,296 : 191,648 = 191,648 : x
2. Step 2: Convert to fraction form
   88,296/191,648 = 191,648/x
3. Step 3: Cross multiply
   88,296x = 191,648 × 191,648
4. Step 4: Simplify right side
   88,296x = 36,728,955,904
5. Step 5: Solve for x
   x = 36,728,955,904/88,296
6. Step 6: Final answer
   x = 415,975.31