Finding the Third Proportional to 42,202 and 92,456

Step by Step Solution

1. Step 1: Write the proportion equation
   42,202 : 92,456 = 92,456 : x
2. Step 2: Convert to fraction form
   42,202/92,456 = 92,456/x
3. Step 3: Cross multiply
   42,202x = 92,456 × 92,456
4. Step 4: Simplify right side
   42,202x = 8,548,111,936
5. Step 5: Solve for x
   x = 8,548,111,936/42,202
6. Step 6: Final answer
   x = 202,552.29