Finding the Third Proportional to 142,317 and 316,146

Step by Step Solution

1. Step 1: Write the proportion equation
   142,317 : 316,146 = 316,146 : x
2. Step 2: Convert to fraction form
   142,317/316,146 = 316,146/x
3. Step 3: Cross multiply
   142,317x = 316,146 × 316,146
4. Step 4: Simplify right side
   142,317x = 99,948,293,316
5. Step 5: Solve for x
   x = 99,948,293,316/142,317
6. Step 6: Final answer
   x = 702,293.42