Finding the Third Proportional to 103,487 and 164,141

Step by Step Solution

1. Step 1: Write the proportion equation
   103,487 : 164,141 = 164,141 : x
2. Step 2: Convert to fraction form
   103,487/164,141 = 164,141/x
3. Step 3: Cross multiply
   103,487x = 164,141 × 164,141
4. Step 4: Simplify right side
   103,487x = 26,942,267,881
5. Step 5: Solve for x
   x = 26,942,267,881/103,487
6. Step 6: Final answer
   x = 260,344.47