Finding the Third Proportional to 42,380 and 91,236

Step by Step Solution

1. Step 1: Write the proportion equation
   42,380 : 91,236 = 91,236 : x
2. Step 2: Convert to fraction form
   42,380/91,236 = 91,236/x
3. Step 3: Cross multiply
   42,380x = 91,236 × 91,236
4. Step 4: Simplify right side
   42,380x = 8,324,007,696
5. Step 5: Solve for x
   x = 8,324,007,696/42,380
6. Step 6: Final answer
   x = 196,413.58