Finding the Third Proportional to 146,191 and 314,941

Step by Step Solution

1. Step 1: Write the proportion equation
   146,191 : 314,941 = 314,941 : x
2. Step 2: Convert to fraction form
   146,191/314,941 = 314,941/x
3. Step 3: Cross multiply
   146,191x = 314,941 × 314,941
4. Step 4: Simplify right side
   146,191x = 99,187,833,481
5. Step 5: Solve for x
   x = 99,187,833,481/146,191
6. Step 6: Final answer
   x = 678,481.12