Finding the Third Proportional to 78,528 and 174,480

Step by Step Solution

1. Step 1: Write the proportion equation
   78,528 : 174,480 = 174,480 : x
2. Step 2: Convert to fraction form
   78,528/174,480 = 174,480/x
3. Step 3: Cross multiply
   78,528x = 174,480 × 174,480
4. Step 4: Simplify right side
   78,528x = 30,443,270,400
5. Step 5: Solve for x
   x = 30,443,270,400/78,528
6. Step 6: Final answer
   x = 387,674.08