Finding the Third Proportional to 100,267 and 214,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,267 : 214,064.50 = 214,064.50 : x
2. Step 2: Convert to fraction form
   100,267/214,064.50 = 214,064.50/x
3. Step 3: Cross multiply
   100,267x = 214,064.50 × 214,064.50
4. Step 4: Simplify right side
   100,267x = 45,823,610,160.25
5. Step 5: Solve for x
   x = 45,823,610,160.25/100,267
6. Step 6: Final answer
   x = 457,015.87