Finding the Third Proportional to 117,792 and 179,145

Step by Step Solution

1. Step 1: Write the proportion equation
   117,792 : 179,145 = 179,145 : x
2. Step 2: Convert to fraction form
   117,792/179,145 = 179,145/x
3. Step 3: Cross multiply
   117,792x = 179,145 × 179,145
4. Step 4: Simplify right side
   117,792x = 32,092,931,025
5. Step 5: Solve for x
   x = 32,092,931,025/117,792
6. Step 6: Final answer
   x = 272,454.25