Finding the Third Proportional to 146,186 and 317,140

Step by Step Solution

1. Step 1: Write the proportion equation
   146,186 : 317,140 = 317,140 : x
2. Step 2: Convert to fraction form
   146,186/317,140 = 317,140/x
3. Step 3: Cross multiply
   146,186x = 317,140 × 317,140
4. Step 4: Simplify right side
   146,186x = 100,577,779,600
5. Step 5: Solve for x
   x = 100,577,779,600/146,186
6. Step 6: Final answer
   x = 688,012.39