Finding the Third Proportional to 88,628 and 191,172

Step by Step Solution

1. Step 1: Write the proportion equation
   88,628 : 191,172 = 191,172 : x
2. Step 2: Convert to fraction form
   88,628/191,172 = 191,172/x
3. Step 3: Cross multiply
   88,628x = 191,172 × 191,172
4. Step 4: Simplify right side
   88,628x = 36,546,733,584
5. Step 5: Solve for x
   x = 36,546,733,584/88,628
6. Step 6: Final answer
   x = 412,361.03