Finding the Third Proportional to 45,942 and 101,196

Step by Step Solution

1. Step 1: Write the proportion equation
   45,942 : 101,196 = 101,196 : x
2. Step 2: Convert to fraction form
   45,942/101,196 = 101,196/x
3. Step 3: Cross multiply
   45,942x = 101,196 × 101,196
4. Step 4: Simplify right side
   45,942x = 10,240,630,416
5. Step 5: Solve for x
   x = 10,240,630,416/45,942
6. Step 6: Final answer
   x = 222,903.45