Finding the Third Proportional to 117,777 and 175,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,777 : 175,065.50 = 175,065.50 : x
2. Step 2: Convert to fraction form
   117,777/175,065.50 = 175,065.50/x
3. Step 3: Cross multiply
   117,777x = 175,065.50 × 175,065.50
4. Step 4: Simplify right side
   117,777x = 30,647,929,290.25
5. Step 5: Solve for x
   x = 30,647,929,290.25/117,777
6. Step 6: Final answer
   x = 260,219.99