Finding the Third Proportional to 42,296 and 91,878

Step by Step Solution

1. Step 1: Write the proportion equation
   42,296 : 91,878 = 91,878 : x
2. Step 2: Convert to fraction form
   42,296/91,878 = 91,878/x
3. Step 3: Cross multiply
   42,296x = 91,878 × 91,878
4. Step 4: Simplify right side
   42,296x = 8,441,566,884
5. Step 5: Solve for x
   x = 8,441,566,884/42,296
6. Step 6: Final answer
   x = 199,583.10