Finding the Third Proportional to 117,948 and 262,248

Step by Step Solution

1. Step 1: Write the proportion equation
   117,948 : 262,248 = 262,248 : x
2. Step 2: Convert to fraction form
   117,948/262,248 = 262,248/x
3. Step 3: Cross multiply
   117,948x = 262,248 × 262,248
4. Step 4: Simplify right side
   117,948x = 68,774,013,504
5. Step 5: Solve for x
   x = 68,774,013,504/117,948
6. Step 6: Final answer
   x = 583,087.58