Finding the Third Proportional to 78,530 and 174,484

Step by Step Solution

1. Step 1: Write the proportion equation
   78,530 : 174,484 = 174,484 : x
2. Step 2: Convert to fraction form
   78,530/174,484 = 174,484/x
3. Step 3: Cross multiply
   78,530x = 174,484 × 174,484
4. Step 4: Simplify right side
   78,530x = 30,444,666,256
5. Step 5: Solve for x
   x = 30,444,666,256/78,530
6. Step 6: Final answer
   x = 387,681.98