Finding the Third Proportional to 78,286 and 174,501

Step by Step Solution

1. Step 1: Write the proportion equation
   78,286 : 174,501 = 174,501 : x
2. Step 2: Convert to fraction form
   78,286/174,501 = 174,501/x
3. Step 3: Cross multiply
   78,286x = 174,501 × 174,501
4. Step 4: Simplify right side
   78,286x = 30,450,599,001
5. Step 5: Solve for x
   x = 30,450,599,001/78,286
6. Step 6: Final answer
   x = 388,966.09