Finding the Third Proportional to 143,857 and 316,064

Step by Step Solution

1. Step 1: Write the proportion equation
   143,857 : 316,064 = 316,064 : x
2. Step 2: Convert to fraction form
   143,857/316,064 = 316,064/x
3. Step 3: Cross multiply
   143,857x = 316,064 × 316,064
4. Step 4: Simplify right side
   143,857x = 99,896,452,096
5. Step 5: Solve for x
   x = 99,896,452,096/143,857
6. Step 6: Final answer
   x = 694,414.95