Finding the Third Proportional to 178,308 and 359,532

Step by Step Solution

1. Step 1: Write the proportion equation
   178,308 : 359,532 = 359,532 : x
2. Step 2: Convert to fraction form
   178,308/359,532 = 359,532/x
3. Step 3: Cross multiply
   178,308x = 359,532 × 359,532
4. Step 4: Simplify right side
   178,308x = 129,263,259,024
5. Step 5: Solve for x
   x = 129,263,259,024/178,308
6. Step 6: Final answer
   x = 724,943.69