Finding the Third Proportional to 42,640 and 92,536

Step by Step Solution

1. Step 1: Write the proportion equation
   42,640 : 92,536 = 92,536 : x
2. Step 2: Convert to fraction form
   42,640/92,536 = 92,536/x
3. Step 3: Cross multiply
   42,640x = 92,536 × 92,536
4. Step 4: Simplify right side
   42,640x = 8,562,911,296
5. Step 5: Solve for x
   x = 8,562,911,296/42,640
6. Step 6: Final answer
   x = 200,818.75