Finding the Third Proportional to 59,196 and 83,270

Step by Step Solution

1. Step 1: Write the proportion equation
   59,196 : 83,270 = 83,270 : x
2. Step 2: Convert to fraction form
   59,196/83,270 = 83,270/x
3. Step 3: Cross multiply
   59,196x = 83,270 × 83,270
4. Step 4: Simplify right side
   59,196x = 6,933,892,900
5. Step 5: Solve for x
   x = 6,933,892,900/59,196
6. Step 6: Final answer
   x = 117,134.48