Finding the Third Proportional to 45,920 and 100,264

Step by Step Solution

1. Step 1: Write the proportion equation
   45,920 : 100,264 = 100,264 : x
2. Step 2: Convert to fraction form
   45,920/100,264 = 100,264/x
3. Step 3: Cross multiply
   45,920x = 100,264 × 100,264
4. Step 4: Simplify right side
   45,920x = 10,052,869,696
5. Step 5: Solve for x
   x = 10,052,869,696/45,920
6. Step 6: Final answer
   x = 218,921.38