Finding the Third Proportional to 100,633.50 and 213,255

Step by Step Solution

1. Step 1: Write the proportion equation
   100,633.50 : 213,255 = 213,255 : x
2. Step 2: Convert to fraction form
   100,633.50/213,255 = 213,255/x
3. Step 3: Cross multiply
   100,633.50x = 213,255 × 213,255
4. Step 4: Simplify right side
   100,633.50x = 45,477,695,025
5. Step 5: Solve for x
   x = 45,477,695,025/100,633.50
6. Step 6: Final answer
   x = 451,914.07