Finding the Third Proportional to 144,234 and 314,712

Step by Step Solution

1. Step 1: Write the proportion equation
   144,234 : 314,712 = 314,712 : x
2. Step 2: Convert to fraction form
   144,234/314,712 = 314,712/x
3. Step 3: Cross multiply
   144,234x = 314,712 × 314,712
4. Step 4: Simplify right side
   144,234x = 99,043,642,944
5. Step 5: Solve for x
   x = 99,043,642,944/144,234
6. Step 6: Final answer
   x = 686,687.21