Finding the Third Proportional to 83,799 and 117,218.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,799 : 117,218.50 = 117,218.50 : x
2. Step 2: Convert to fraction form
   83,799/117,218.50 = 117,218.50/x
3. Step 3: Cross multiply
   83,799x = 117,218.50 × 117,218.50
4. Step 4: Simplify right side
   83,799x = 13,740,176,742.25
5. Step 5: Solve for x
   x = 13,740,176,742.25/83,799
6. Step 6: Final answer
   x = 163,965.88