Finding the Third Proportional to 42,464 and 91,844

Step by Step Solution

1. Step 1: Write the proportion equation
   42,464 : 91,844 = 91,844 : x
2. Step 2: Convert to fraction form
   42,464/91,844 = 91,844/x
3. Step 3: Cross multiply
   42,464x = 91,844 × 91,844
4. Step 4: Simplify right side
   42,464x = 8,435,320,336
5. Step 5: Solve for x
   x = 8,435,320,336/42,464
6. Step 6: Final answer
   x = 198,646.39