Finding the Third Proportional to 42,196 and 92,168

Step by Step Solution

1. Step 1: Write the proportion equation
   42,196 : 92,168 = 92,168 : x
2. Step 2: Convert to fraction form
   42,196/92,168 = 92,168/x
3. Step 3: Cross multiply
   42,196x = 92,168 × 92,168
4. Step 4: Simplify right side
   42,196x = 8,494,940,224
5. Step 5: Solve for x
   x = 8,494,940,224/42,196
6. Step 6: Final answer
   x = 201,320.98