Finding the Third Proportional to 42,078 and 92,904

Step by Step Solution

1. Step 1: Write the proportion equation
   42,078 : 92,904 = 92,904 : x
2. Step 2: Convert to fraction form
   42,078/92,904 = 92,904/x
3. Step 3: Cross multiply
   42,078x = 92,904 × 92,904
4. Step 4: Simplify right side
   42,078x = 8,631,153,216
5. Step 5: Solve for x
   x = 8,631,153,216/42,078
6. Step 6: Final answer
   x = 205,122.71