Finding the Third Proportional to 149,566 and 316,016

Step by Step Solution

1. Step 1: Write the proportion equation
   149,566 : 316,016 = 316,016 : x
2. Step 2: Convert to fraction form
   149,566/316,016 = 316,016/x
3. Step 3: Cross multiply
   149,566x = 316,016 × 316,016
4. Step 4: Simplify right side
   149,566x = 99,866,112,256
5. Step 5: Solve for x
   x = 99,866,112,256/149,566
6. Step 6: Final answer
   x = 667,705.98