Finding the Third Proportional to 83,496 and 129,308

Step by Step Solution

1. Step 1: Write the proportion equation
   83,496 : 129,308 = 129,308 : x
2. Step 2: Convert to fraction form
   83,496/129,308 = 129,308/x
3. Step 3: Cross multiply
   83,496x = 129,308 × 129,308
4. Step 4: Simplify right side
   83,496x = 16,720,558,864
5. Step 5: Solve for x
   x = 16,720,558,864/83,496
6. Step 6: Final answer
   x = 200,255.81