Finding the Third Proportional to 80,776 and 174,528

Step by Step Solution

1. Step 1: Write the proportion equation
   80,776 : 174,528 = 174,528 : x
2. Step 2: Convert to fraction form
   80,776/174,528 = 174,528/x
3. Step 3: Cross multiply
   80,776x = 174,528 × 174,528
4. Step 4: Simplify right side
   80,776x = 30,460,022,784
5. Step 5: Solve for x
   x = 30,460,022,784/80,776
6. Step 6: Final answer
   x = 377,092.49