Finding the Third Proportional to 144,030 and 314,062

Step by Step Solution

1. Step 1: Write the proportion equation
   144,030 : 314,062 = 314,062 : x
2. Step 2: Convert to fraction form
   144,030/314,062 = 314,062/x
3. Step 3: Cross multiply
   144,030x = 314,062 × 314,062
4. Step 4: Simplify right side
   144,030x = 98,634,939,844
5. Step 5: Solve for x
   x = 98,634,939,844/144,030
6. Step 6: Final answer
   x = 684,822.19