Finding the Third Proportional to 42,116 and 92,012

Step by Step Solution

1. Step 1: Write the proportion equation
   42,116 : 92,012 = 92,012 : x
2. Step 2: Convert to fraction form
   42,116/92,012 = 92,012/x
3. Step 3: Cross multiply
   42,116x = 92,012 × 92,012
4. Step 4: Simplify right side
   42,116x = 8,466,208,144
5. Step 5: Solve for x
   x = 8,466,208,144/42,116
6. Step 6: Final answer
   x = 201,021.18