Finding the Third Proportional to 109,212 and 235,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,212 : 235,189.50 = 235,189.50 : x
2. Step 2: Convert to fraction form
   109,212/235,189.50 = 235,189.50/x
3. Step 3: Cross multiply
   109,212x = 235,189.50 × 235,189.50
4. Step 4: Simplify right side
   109,212x = 55,314,100,910.25
5. Step 5: Solve for x
   x = 55,314,100,910.25/109,212
6. Step 6: Final answer
   x = 506,483.73