Finding the Third Proportional to 42,215 and 92,206

Step by Step Solution

1. Step 1: Write the proportion equation
   42,215 : 92,206 = 92,206 : x
2. Step 2: Convert to fraction form
   42,215/92,206 = 92,206/x
3. Step 3: Cross multiply
   42,215x = 92,206 × 92,206
4. Step 4: Simplify right side
   42,215x = 8,501,946,436
5. Step 5: Solve for x
   x = 8,501,946,436/42,215
6. Step 6: Final answer
   x = 201,396.34