Finding the Third Proportional to 142,064 and 315,658

Step by Step Solution

1. Step 1: Write the proportion equation
   142,064 : 315,658 = 315,658 : x
2. Step 2: Convert to fraction form
   142,064/315,658 = 315,658/x
3. Step 3: Cross multiply
   142,064x = 315,658 × 315,658
4. Step 4: Simplify right side
   142,064x = 99,639,972,964
5. Step 5: Solve for x
   x = 99,639,972,964/142,064
6. Step 6: Final answer
   x = 701,373.84