Finding the Third Proportional to 45,354 and 100,185

Step by Step Solution

1. Step 1: Write the proportion equation
   45,354 : 100,185 = 100,185 : x
2. Step 2: Convert to fraction form
   45,354/100,185 = 100,185/x
3. Step 3: Cross multiply
   45,354x = 100,185 × 100,185
4. Step 4: Simplify right side
   45,354x = 10,037,034,225
5. Step 5: Solve for x
   x = 10,037,034,225/45,354
6. Step 6: Final answer
   x = 221,304.28