Finding the Third Proportional to 147,888 and 317,892

Step by Step Solution

1. Step 1: Write the proportion equation
   147,888 : 317,892 = 317,892 : x
2. Step 2: Convert to fraction form
   147,888/317,892 = 317,892/x
3. Step 3: Cross multiply
   147,888x = 317,892 × 317,892
4. Step 4: Simplify right side
   147,888x = 101,055,323,664
5. Step 5: Solve for x
   x = 101,055,323,664/147,888
6. Step 6: Final answer
   x = 683,323.35