Finding the Third Proportional to 76,647 and 111,994.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,647 : 111,994.50 = 111,994.50 : x
2. Step 2: Convert to fraction form
   76,647/111,994.50 = 111,994.50/x
3. Step 3: Cross multiply
   76,647x = 111,994.50 × 111,994.50
4. Step 4: Simplify right side
   76,647x = 12,542,768,030.25
5. Step 5: Solve for x
   x = 12,542,768,030.25/76,647
6. Step 6: Final answer
   x = 163,643.30