Finding the Third Proportional to 100,920 and 212,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,920 : 212,296.50 = 212,296.50 : x
2. Step 2: Convert to fraction form
   100,920/212,296.50 = 212,296.50/x
3. Step 3: Cross multiply
   100,920x = 212,296.50 × 212,296.50
4. Step 4: Simplify right side
   100,920x = 45,069,803,912.25
5. Step 5: Solve for x
   x = 45,069,803,912.25/100,920
6. Step 6: Final answer
   x = 446,589.42