Finding the Third Proportional to 100,265 and 214,060.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,265 : 214,060.50 = 214,060.50 : x
2. Step 2: Convert to fraction form
   100,265/214,060.50 = 214,060.50/x
3. Step 3: Cross multiply
   100,265x = 214,060.50 × 214,060.50
4. Step 4: Simplify right side
   100,265x = 45,821,897,660.25
5. Step 5: Solve for x
   x = 45,821,897,660.25/100,265
6. Step 6: Final answer
   x = 457,007.91