Finding the Third Proportional to 147,100 and 317,522

Step by Step Solution

1. Step 1: Write the proportion equation
   147,100 : 317,522 = 317,522 : x
2. Step 2: Convert to fraction form
   147,100/317,522 = 317,522/x
3. Step 3: Cross multiply
   147,100x = 317,522 × 317,522
4. Step 4: Simplify right side
   147,100x = 100,820,220,484
5. Step 5: Solve for x
   x = 100,820,220,484/147,100
6. Step 6: Final answer
   x = 685,385.59