Finding the Third Proportional to 78,530 and 174,482

Step by Step Solution

1. Step 1: Write the proportion equation
   78,530 : 174,482 = 174,482 : x
2. Step 2: Convert to fraction form
   78,530/174,482 = 174,482/x
3. Step 3: Cross multiply
   78,530x = 174,482 × 174,482
4. Step 4: Simplify right side
   78,530x = 30,443,968,324
5. Step 5: Solve for x
   x = 30,443,968,324/78,530
6. Step 6: Final answer
   x = 387,673.10