Finding the Third Proportional to 146,886 and 317,094

Step by Step Solution

1. Step 1: Write the proportion equation
   146,886 : 317,094 = 317,094 : x
2. Step 2: Convert to fraction form
   146,886/317,094 = 317,094/x
3. Step 3: Cross multiply
   146,886x = 317,094 × 317,094
4. Step 4: Simplify right side
   146,886x = 100,548,604,836
5. Step 5: Solve for x
   x = 100,548,604,836/146,886
6. Step 6: Final answer
   x = 684,534.98