Finding the Third Proportional to 103,969 and 218,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,969 : 218,802.50 = 218,802.50 : x
2. Step 2: Convert to fraction form
   103,969/218,802.50 = 218,802.50/x
3. Step 3: Cross multiply
   103,969x = 218,802.50 × 218,802.50
4. Step 4: Simplify right side
   103,969x = 47,874,534,006.25
5. Step 5: Solve for x
   x = 47,874,534,006.25/103,969
6. Step 6: Final answer
   x = 460,469.31