Finding the Third Proportional to 42,592 and 92,960

Step by Step Solution

1. Step 1: Write the proportion equation
   42,592 : 92,960 = 92,960 : x
2. Step 2: Convert to fraction form
   42,592/92,960 = 92,960/x
3. Step 3: Cross multiply
   42,592x = 92,960 × 92,960
4. Step 4: Simplify right side
   42,592x = 8,641,561,600
5. Step 5: Solve for x
   x = 8,641,561,600/42,592
6. Step 6: Final answer
   x = 202,891.66