Finding the Third Proportional to 78,372 and 152,802

Step by Step Solution

1. Step 1: Write the proportion equation
   78,372 : 152,802 = 152,802 : x
2. Step 2: Convert to fraction form
   78,372/152,802 = 152,802/x
3. Step 3: Cross multiply
   78,372x = 152,802 × 152,802
4. Step 4: Simplify right side
   78,372x = 23,348,451,204
5. Step 5: Solve for x
   x = 23,348,451,204/78,372
6. Step 6: Final answer
   x = 297,918.28