Finding the Third Proportional to 42,420 and 92,148

Step by Step Solution

1. Step 1: Write the proportion equation
   42,420 : 92,148 = 92,148 : x
2. Step 2: Convert to fraction form
   42,420/92,148 = 92,148/x
3. Step 3: Cross multiply
   42,420x = 92,148 × 92,148
4. Step 4: Simplify right side
   42,420x = 8,491,253,904
5. Step 5: Solve for x
   x = 8,491,253,904/42,420
6. Step 6: Final answer
   x = 200,171.00