Finding the Third Proportional to 53,799 and 118,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,799 : 118,213.50 = 118,213.50 : x
2. Step 2: Convert to fraction form
   53,799/118,213.50 = 118,213.50/x
3. Step 3: Cross multiply
   53,799x = 118,213.50 × 118,213.50
4. Step 4: Simplify right side
   53,799x = 13,974,431,582.25
5. Step 5: Solve for x
   x = 13,974,431,582.25/53,799
6. Step 6: Final answer
   x = 259,752.63