Finding the Third Proportional to 146,370 and 314,932

Step by Step Solution

1. Step 1: Write the proportion equation
   146,370 : 314,932 = 314,932 : x
2. Step 2: Convert to fraction form
   146,370/314,932 = 314,932/x
3. Step 3: Cross multiply
   146,370x = 314,932 × 314,932
4. Step 4: Simplify right side
   146,370x = 99,182,164,624
5. Step 5: Solve for x
   x = 99,182,164,624/146,370
6. Step 6: Final answer
   x = 677,612.66