Finding the Third Proportional to 78,971 and 102,460

Step by Step Solution

1. Step 1: Write the proportion equation
   78,971 : 102,460 = 102,460 : x
2. Step 2: Convert to fraction form
   78,971/102,460 = 102,460/x
3. Step 3: Cross multiply
   78,971x = 102,460 × 102,460
4. Step 4: Simplify right side
   78,971x = 10,498,051,600
5. Step 5: Solve for x
   x = 10,498,051,600/78,971
6. Step 6: Final answer
   x = 132,935.53