Finding the Third Proportional to 77,802 and 158,460

Step by Step Solution

1. Step 1: Write the proportion equation
   77,802 : 158,460 = 158,460 : x
2. Step 2: Convert to fraction form
   77,802/158,460 = 158,460/x
3. Step 3: Cross multiply
   77,802x = 158,460 × 158,460
4. Step 4: Simplify right side
   77,802x = 25,109,571,600
5. Step 5: Solve for x
   x = 25,109,571,600/77,802
6. Step 6: Final answer
   x = 322,736.84