Finding the Third Proportional to 142,314 and 316,140

Step by Step Solution

1. Step 1: Write the proportion equation
   142,314 : 316,140 = 316,140 : x
2. Step 2: Convert to fraction form
   142,314/316,140 = 316,140/x
3. Step 3: Cross multiply
   142,314x = 316,140 × 316,140
4. Step 4: Simplify right side
   142,314x = 99,944,499,600
5. Step 5: Solve for x
   x = 99,944,499,600/142,314
6. Step 6: Final answer
   x = 702,281.57