Finding the Third Proportional to 78,527 and 174,469

Step by Step Solution

1. Step 1: Write the proportion equation
   78,527 : 174,469 = 174,469 : x
2. Step 2: Convert to fraction form
   78,527/174,469 = 174,469/x
3. Step 3: Cross multiply
   78,527x = 174,469 × 174,469
4. Step 4: Simplify right side
   78,527x = 30,439,431,961
5. Step 5: Solve for x
   x = 30,439,431,961/78,527
6. Step 6: Final answer
   x = 387,630.14