Finding the Third Proportional to 144,066 and 314,377

Step by Step Solution

1. Step 1: Write the proportion equation
   144,066 : 314,377 = 314,377 : x
2. Step 2: Convert to fraction form
   144,066/314,377 = 314,377/x
3. Step 3: Cross multiply
   144,066x = 314,377 × 314,377
4. Step 4: Simplify right side
   144,066x = 98,832,898,129
5. Step 5: Solve for x
   x = 98,832,898,129/144,066
6. Step 6: Final answer
   x = 686,025.14