Finding the Third Proportional to 147,116 and 317,558

Step by Step Solution

1. Step 1: Write the proportion equation
   147,116 : 317,558 = 317,558 : x
2. Step 2: Convert to fraction form
   147,116/317,558 = 317,558/x
3. Step 3: Cross multiply
   147,116x = 317,558 × 317,558
4. Step 4: Simplify right side
   147,116x = 100,843,083,364
5. Step 5: Solve for x
   x = 100,843,083,364/147,116
6. Step 6: Final answer
   x = 685,466.46