Finding the Third Proportional to 105,271 and 230,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,271 : 230,225.50 = 230,225.50 : x
2. Step 2: Convert to fraction form
   105,271/230,225.50 = 230,225.50/x
3. Step 3: Cross multiply
   105,271x = 230,225.50 × 230,225.50
4. Step 4: Simplify right side
   105,271x = 53,003,780,850.25
5. Step 5: Solve for x
   x = 53,003,780,850.25/105,271
6. Step 6: Final answer
   x = 503,498.41