Finding the Third Proportional to 82,160 and 179,248

Step by Step Solution

1. Step 1: Write the proportion equation
   82,160 : 179,248 = 179,248 : x
2. Step 2: Convert to fraction form
   82,160/179,248 = 179,248/x
3. Step 3: Cross multiply
   82,160x = 179,248 × 179,248
4. Step 4: Simplify right side
   82,160x = 32,129,845,504
5. Step 5: Solve for x
   x = 32,129,845,504/82,160
6. Step 6: Final answer
   x = 391,064.33