Finding the Third Proportional to 91,284 and 196,148

Step by Step Solution

1. Step 1: Write the proportion equation
   91,284 : 196,148 = 196,148 : x
2. Step 2: Convert to fraction form
   91,284/196,148 = 196,148/x
3. Step 3: Cross multiply
   91,284x = 196,148 × 196,148
4. Step 4: Simplify right side
   91,284x = 38,474,037,904
5. Step 5: Solve for x
   x = 38,474,037,904/91,284
6. Step 6: Final answer
   x = 421,476.25