Finding the Third Proportional to 45,864 and 100,748.25

Step by Step Solution

1. Step 1: Write the proportion equation
   45,864 : 100,748.25 = 100,748.25 : x
2. Step 2: Convert to fraction form
   45,864/100,748.25 = 100,748.25/x
3. Step 3: Cross multiply
   45,864x = 100,748.25 × 100,748.25
4. Step 4: Simplify right side
   45,864x = 10,150,209,878.06
5. Step 5: Solve for x
   x = 10,150,209,878.06/45,864
6. Step 6: Final answer
   x = 221,311.05