Finding the Third Proportional to 102,401 and 160,290

Step by Step Solution

1. Step 1: Write the proportion equation
   102,401 : 160,290 = 160,290 : x
2. Step 2: Convert to fraction form
   102,401/160,290 = 160,290/x
3. Step 3: Cross multiply
   102,401x = 160,290 × 160,290
4. Step 4: Simplify right side
   102,401x = 25,692,884,100
5. Step 5: Solve for x
   x = 25,692,884,100/102,401
6. Step 6: Final answer
   x = 250,904.62