Finding the Third Proportional to 99,910 and 206,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,910 : 206,743.50 = 206,743.50 : x
2. Step 2: Convert to fraction form
   99,910/206,743.50 = 206,743.50/x
3. Step 3: Cross multiply
   99,910x = 206,743.50 × 206,743.50
4. Step 4: Simplify right side
   99,910x = 42,742,874,792.25
5. Step 5: Solve for x
   x = 42,742,874,792.25/99,910
6. Step 6: Final answer
   x = 427,813.78