Finding the Third Proportional to 45,902 and 100,084

Step by Step Solution

1. Step 1: Write the proportion equation
   45,902 : 100,084 = 100,084 : x
2. Step 2: Convert to fraction form
   45,902/100,084 = 100,084/x
3. Step 3: Cross multiply
   45,902x = 100,084 × 100,084
4. Step 4: Simplify right side
   45,902x = 10,016,807,056
5. Step 5: Solve for x
   x = 10,016,807,056/45,902
6. Step 6: Final answer
   x = 218,221.58