Finding the Third Proportional to 148,636 and 317,432

Step by Step Solution

1. Step 1: Write the proportion equation
   148,636 : 317,432 = 317,432 : x
2. Step 2: Convert to fraction form
   148,636/317,432 = 317,432/x
3. Step 3: Cross multiply
   148,636x = 317,432 × 317,432
4. Step 4: Simplify right side
   148,636x = 100,763,074,624
5. Step 5: Solve for x
   x = 100,763,074,624/148,636
6. Step 6: Final answer
   x = 677,918.37