Finding the Third Proportional to 82,308 and 177,768

Step by Step Solution

1. Step 1: Write the proportion equation
   82,308 : 177,768 = 177,768 : x
2. Step 2: Convert to fraction form
   82,308/177,768 = 177,768/x
3. Step 3: Cross multiply
   82,308x = 177,768 × 177,768
4. Step 4: Simplify right side
   82,308x = 31,601,461,824
5. Step 5: Solve for x
   x = 31,601,461,824/82,308
6. Step 6: Final answer
   x = 383,941.56