Finding the Third Proportional to 42,504 and 92,784

Step by Step Solution

1. Step 1: Write the proportion equation
   42,504 : 92,784 = 92,784 : x
2. Step 2: Convert to fraction form
   42,504/92,784 = 92,784/x
3. Step 3: Cross multiply
   42,504x = 92,784 × 92,784
4. Step 4: Simplify right side
   42,504x = 8,608,870,656
5. Step 5: Solve for x
   x = 8,608,870,656/42,504
6. Step 6: Final answer
   x = 202,542.60