Finding the Third Proportional to 82,848 and 174,528

Step by Step Solution

1. Step 1: Write the proportion equation
   82,848 : 174,528 = 174,528 : x
2. Step 2: Convert to fraction form
   82,848/174,528 = 174,528/x
3. Step 3: Cross multiply
   82,848x = 174,528 × 174,528
4. Step 4: Simplify right side
   82,848x = 30,460,022,784
5. Step 5: Solve for x
   x = 30,460,022,784/82,848
6. Step 6: Final answer
   x = 367,661.53