Finding the Third Proportional to 147,091 and 317,506

Step by Step Solution

1. Step 1: Write the proportion equation
   147,091 : 317,506 = 317,506 : x
2. Step 2: Convert to fraction form
   147,091/317,506 = 317,506/x
3. Step 3: Cross multiply
   147,091x = 317,506 × 317,506
4. Step 4: Simplify right side
   147,091x = 100,810,060,036
5. Step 5: Solve for x
   x = 100,810,060,036/147,091
6. Step 6: Final answer
   x = 685,358.45