Finding the Third Proportional to 144,634 and 314,146

Step by Step Solution

1. Step 1: Write the proportion equation
   144,634 : 314,146 = 314,146 : x
2. Step 2: Convert to fraction form
   144,634/314,146 = 314,146/x
3. Step 3: Cross multiply
   144,634x = 314,146 × 314,146
4. Step 4: Simplify right side
   144,634x = 98,687,709,316
5. Step 5: Solve for x
   x = 98,687,709,316/144,634
6. Step 6: Final answer
   x = 682,327.18