Finding the Third Proportional to 100,636 and 205,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,636 : 205,641.50 = 205,641.50 : x
2. Step 2: Convert to fraction form
   100,636/205,641.50 = 205,641.50/x
3. Step 3: Cross multiply
   100,636x = 205,641.50 × 205,641.50
4. Step 4: Simplify right side
   100,636x = 42,288,426,522.25
5. Step 5: Solve for x
   x = 42,288,426,522.25/100,636
6. Step 6: Final answer
   x = 420,211.72