Finding the Third Proportional to 83,294 and 128,834

Step by Step Solution

1. Step 1: Write the proportion equation
   83,294 : 128,834 = 128,834 : x
2. Step 2: Convert to fraction form
   83,294/128,834 = 128,834/x
3. Step 3: Cross multiply
   83,294x = 128,834 × 128,834
4. Step 4: Simplify right side
   83,294x = 16,598,199,556
5. Step 5: Solve for x
   x = 16,598,199,556/83,294
6. Step 6: Final answer
   x = 199,272.45