Finding the Third Proportional to 147,205 and 317,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,205 : 317,724.50 = 317,724.50 : x
2. Step 2: Convert to fraction form
   147,205/317,724.50 = 317,724.50/x
3. Step 3: Cross multiply
   147,205x = 317,724.50 × 317,724.50
4. Step 4: Simplify right side
   147,205x = 100,948,857,900.25
5. Step 5: Solve for x
   x = 100,948,857,900.25/147,205
6. Step 6: Final answer
   x = 685,770.58