Finding the Third Proportional to 146,123 and 314,083

Step by Step Solution

1. Step 1: Write the proportion equation
   146,123 : 314,083 = 314,083 : x
2. Step 2: Convert to fraction form
   146,123/314,083 = 314,083/x
3. Step 3: Cross multiply
   146,123x = 314,083 × 314,083
4. Step 4: Simplify right side
   146,123x = 98,648,130,889
5. Step 5: Solve for x
   x = 98,648,130,889/146,123
6. Step 6: Final answer
   x = 675,103.38