Finding the Third Proportional to 100,622 and 209,511.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,622 : 209,511.50 = 209,511.50 : x
2. Step 2: Convert to fraction form
   100,622/209,511.50 = 209,511.50/x
3. Step 3: Cross multiply
   100,622x = 209,511.50 × 209,511.50
4. Step 4: Simplify right side
   100,622x = 43,895,068,632.25
5. Step 5: Solve for x
   x = 43,895,068,632.25/100,622
6. Step 6: Final answer
   x = 436,237.29