Finding the Third Proportional to 145,416 and 217,246.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,416 : 217,246.50 = 217,246.50 : x
2. Step 2: Convert to fraction form
   145,416/217,246.50 = 217,246.50/x
3. Step 3: Cross multiply
   145,416x = 217,246.50 × 217,246.50
4. Step 4: Simplify right side
   145,416x = 47,196,041,762.25
5. Step 5: Solve for x
   x = 47,196,041,762.25/145,416
6. Step 6: Final answer
   x = 324,558.80