Finding the Third Proportional to 147,153 and 317,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,153 : 317,620.50 = 317,620.50 : x
2. Step 2: Convert to fraction form
   147,153/317,620.50 = 317,620.50/x
3. Step 3: Cross multiply
   147,153x = 317,620.50 × 317,620.50
4. Step 4: Simplify right side
   147,153x = 100,882,782,020.25
5. Step 5: Solve for x
   x = 100,882,782,020.25/147,153
6. Step 6: Final answer
   x = 685,563.88