Finding the Third Proportional to 73,647 and 111,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,647 : 111,298.50 = 111,298.50 : x
2. Step 2: Convert to fraction form
   73,647/111,298.50 = 111,298.50/x
3. Step 3: Cross multiply
   73,647x = 111,298.50 × 111,298.50
4. Step 4: Simplify right side
   73,647x = 12,387,356,102.25
5. Step 5: Solve for x
   x = 12,387,356,102.25/73,647
6. Step 6: Final answer
   x = 168,199.06