Finding the Third Proportional to 147,105 and 317,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,105 : 317,533.50 = 317,533.50 : x
2. Step 2: Convert to fraction form
   147,105/317,533.50 = 317,533.50/x
3. Step 3: Cross multiply
   147,105x = 317,533.50 × 317,533.50
4. Step 4: Simplify right side
   147,105x = 100,827,523,622.25
5. Step 5: Solve for x
   x = 100,827,523,622.25/147,105
6. Step 6: Final answer
   x = 685,411.94