Finding the Third Proportional to 83,464 and 173,832

Step by Step Solution

1. Step 1: Write the proportion equation
   83,464 : 173,832 = 173,832 : x
2. Step 2: Convert to fraction form
   83,464/173,832 = 173,832/x
3. Step 3: Cross multiply
   83,464x = 173,832 × 173,832
4. Step 4: Simplify right side
   83,464x = 30,217,564,224
5. Step 5: Solve for x
   x = 30,217,564,224/83,464
6. Step 6: Final answer
   x = 362,043.09