Finding the Third Proportional to 144,032 and 314,066

Step by Step Solution

1. Step 1: Write the proportion equation
   144,032 : 314,066 = 314,066 : x
2. Step 2: Convert to fraction form
   144,032/314,066 = 314,066/x
3. Step 3: Cross multiply
   144,032x = 314,066 × 314,066
4. Step 4: Simplify right side
   144,032x = 98,637,452,356
5. Step 5: Solve for x
   x = 98,637,452,356/144,032
6. Step 6: Final answer
   x = 684,830.12