Finding the Third Proportional to 146,580 and 316,488

Step by Step Solution

1. Step 1: Write the proportion equation
   146,580 : 316,488 = 316,488 : x
2. Step 2: Convert to fraction form
   146,580/316,488 = 316,488/x
3. Step 3: Cross multiply
   146,580x = 316,488 × 316,488
4. Step 4: Simplify right side
   146,580x = 100,164,654,144
5. Step 5: Solve for x
   x = 100,164,654,144/146,580
6. Step 6: Final answer
   x = 683,344.62