Finding the Third Proportional to 223,042 and 317,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   223,042 : 317,953.50 = 317,953.50 : x
2. Step 2: Convert to fraction form
   223,042/317,953.50 = 317,953.50/x
3. Step 3: Cross multiply
   223,042x = 317,953.50 × 317,953.50
4. Step 4: Simplify right side
   223,042x = 101,094,428,162.25
5. Step 5: Solve for x
   x = 101,094,428,162.25/223,042
6. Step 6: Final answer
   x = 453,252.88