Finding the Third Proportional to 83,608 and 178,560

Step by Step Solution

1. Step 1: Write the proportion equation
   83,608 : 178,560 = 178,560 : x
2. Step 2: Convert to fraction form
   83,608/178,560 = 178,560/x
3. Step 3: Cross multiply
   83,608x = 178,560 × 178,560
4. Step 4: Simplify right side
   83,608x = 31,883,673,600
5. Step 5: Solve for x
   x = 31,883,673,600/83,608
6. Step 6: Final answer
   x = 381,347.16