Finding the Third Proportional to 175,536 and 342,216

Step by Step Solution

1. Step 1: Write the proportion equation
   175,536 : 342,216 = 342,216 : x
2. Step 2: Convert to fraction form
   175,536/342,216 = 342,216/x
3. Step 3: Cross multiply
   175,536x = 342,216 × 342,216
4. Step 4: Simplify right side
   175,536x = 117,111,790,656
5. Step 5: Solve for x
   x = 117,111,790,656/175,536
6. Step 6: Final answer
   x = 667,166.80