Finding the Third Proportional to 42,223 and 92,222

Step by Step Solution

1. Step 1: Write the proportion equation
   42,223 : 92,222 = 92,222 : x
2. Step 2: Convert to fraction form
   42,223/92,222 = 92,222/x
3. Step 3: Cross multiply
   42,223x = 92,222 × 92,222
4. Step 4: Simplify right side
   42,223x = 8,504,897,284
5. Step 5: Solve for x
   x = 8,504,897,284/42,223
6. Step 6: Final answer
   x = 201,428.07