Finding the Third Proportional to 42,116 and 91,656

Step by Step Solution

1. Step 1: Write the proportion equation
   42,116 : 91,656 = 91,656 : x
2. Step 2: Convert to fraction form
   42,116/91,656 = 91,656/x
3. Step 3: Cross multiply
   42,116x = 91,656 × 91,656
4. Step 4: Simplify right side
   42,116x = 8,400,822,336
5. Step 5: Solve for x
   x = 8,400,822,336/42,116
6. Step 6: Final answer
   x = 199,468.67