Finding the Third Proportional to 77,858 and 175,940

Step by Step Solution

1. Step 1: Write the proportion equation
   77,858 : 175,940 = 175,940 : x
2. Step 2: Convert to fraction form
   77,858/175,940 = 175,940/x
3. Step 3: Cross multiply
   77,858x = 175,940 × 175,940
4. Step 4: Simplify right side
   77,858x = 30,954,883,600
5. Step 5: Solve for x
   x = 30,954,883,600/77,858
6. Step 6: Final answer
   x = 397,581.28