Finding the Third Proportional to 117,858 and 178,499

Step by Step Solution

1. Step 1: Write the proportion equation
   117,858 : 178,499 = 178,499 : x
2. Step 2: Convert to fraction form
   117,858/178,499 = 178,499/x
3. Step 3: Cross multiply
   117,858x = 178,499 × 178,499
4. Step 4: Simplify right side
   117,858x = 31,861,893,001
5. Step 5: Solve for x
   x = 31,861,893,001/117,858
6. Step 6: Final answer
   x = 270,341.37