Finding the Third Proportional to 45,816 and 100,380

Step by Step Solution

1. Step 1: Write the proportion equation
   45,816 : 100,380 = 100,380 : x
2. Step 2: Convert to fraction form
   45,816/100,380 = 100,380/x
3. Step 3: Cross multiply
   45,816x = 100,380 × 100,380
4. Step 4: Simplify right side
   45,816x = 10,076,144,400
5. Step 5: Solve for x
   x = 10,076,144,400/45,816
6. Step 6: Final answer
   x = 219,926.32