Finding the Third Proportional to 100,404 and 218,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,404 : 218,308.50 = 218,308.50 : x
2. Step 2: Convert to fraction form
   100,404/218,308.50 = 218,308.50/x
3. Step 3: Cross multiply
   100,404x = 218,308.50 × 218,308.50
4. Step 4: Simplify right side
   100,404x = 47,658,601,172.25
5. Step 5: Solve for x
   x = 47,658,601,172.25/100,404
6. Step 6: Final answer
   x = 474,668.35