Finding the Third Proportional to 45,858 and 100,356

Step by Step Solution

1. Step 1: Write the proportion equation
   45,858 : 100,356 = 100,356 : x
2. Step 2: Convert to fraction form
   45,858/100,356 = 100,356/x
3. Step 3: Cross multiply
   45,858x = 100,356 × 100,356
4. Step 4: Simplify right side
   45,858x = 10,071,326,736
5. Step 5: Solve for x
   x = 10,071,326,736/45,858
6. Step 6: Final answer
   x = 219,619.84