Finding the Third Proportional to 117,462 and 178,947

Step by Step Solution

1. Step 1: Write the proportion equation
   117,462 : 178,947 = 178,947 : x
2. Step 2: Convert to fraction form
   117,462/178,947 = 178,947/x
3. Step 3: Cross multiply
   117,462x = 178,947 × 178,947
4. Step 4: Simplify right side
   117,462x = 32,022,028,809
5. Step 5: Solve for x
   x = 32,022,028,809/117,462
6. Step 6: Final answer
   x = 272,616.07