Finding the Third Proportional to 78,412 and 152,864

Step by Step Solution

1. Step 1: Write the proportion equation
   78,412 : 152,864 = 152,864 : x
2. Step 2: Convert to fraction form
   78,412/152,864 = 152,864/x
3. Step 3: Cross multiply
   78,412x = 152,864 × 152,864
4. Step 4: Simplify right side
   78,412x = 23,367,402,496
5. Step 5: Solve for x
   x = 23,367,402,496/78,412
6. Step 6: Final answer
   x = 298,007.99