Finding the Third Proportional to 149,564 and 316,012

Step by Step Solution

1. Step 1: Write the proportion equation
   149,564 : 316,012 = 316,012 : x
2. Step 2: Convert to fraction form
   149,564/316,012 = 316,012/x
3. Step 3: Cross multiply
   149,564x = 316,012 × 316,012
4. Step 4: Simplify right side
   149,564x = 99,863,584,144
5. Step 5: Solve for x
   x = 99,863,584,144/149,564
6. Step 6: Final answer
   x = 667,698.00