Finding the Third Proportional to 43,496 and 83,536

Step by Step Solution

1. Step 1: Write the proportion equation
   43,496 : 83,536 = 83,536 : x
2. Step 2: Convert to fraction form
   43,496/83,536 = 83,536/x
3. Step 3: Cross multiply
   43,496x = 83,536 × 83,536
4. Step 4: Simplify right side
   43,496x = 6,978,263,296
5. Step 5: Solve for x
   x = 6,978,263,296/43,496
6. Step 6: Final answer
   x = 160,434.60