Finding the Third Proportional to 159,480 and 345,384

Step by Step Solution

1. Step 1: Write the proportion equation
   159,480 : 345,384 = 345,384 : x
2. Step 2: Convert to fraction form
   159,480/345,384 = 345,384/x
3. Step 3: Cross multiply
   159,480x = 345,384 × 345,384
4. Step 4: Simplify right side
   159,480x = 119,290,107,456
5. Step 5: Solve for x
   x = 119,290,107,456/159,480
6. Step 6: Final answer
   x = 747,994.15