Finding the Third Proportional to 42,240 and 91,781

Step by Step Solution

1. Step 1: Write the proportion equation
   42,240 : 91,781 = 91,781 : x
2. Step 2: Convert to fraction form
   42,240/91,781 = 91,781/x
3. Step 3: Cross multiply
   42,240x = 91,781 × 91,781
4. Step 4: Simplify right side
   42,240x = 8,423,751,961
5. Step 5: Solve for x
   x = 8,423,751,961/42,240
6. Step 6: Final answer
   x = 199,425.95