Finding the Third Proportional to 59,272 and 129,196

Step by Step Solution

1. Step 1: Write the proportion equation
   59,272 : 129,196 = 129,196 : x
2. Step 2: Convert to fraction form
   59,272/129,196 = 129,196/x
3. Step 3: Cross multiply
   59,272x = 129,196 × 129,196
4. Step 4: Simplify right side
   59,272x = 16,691,606,416
5. Step 5: Solve for x
   x = 16,691,606,416/59,272
6. Step 6: Final answer
   x = 281,610.31