Finding the Third Proportional to 103,061 and 162,894

Step by Step Solution

1. Step 1: Write the proportion equation
   103,061 : 162,894 = 162,894 : x
2. Step 2: Convert to fraction form
   103,061/162,894 = 162,894/x
3. Step 3: Cross multiply
   103,061x = 162,894 × 162,894
4. Step 4: Simplify right side
   103,061x = 26,534,455,236
5. Step 5: Solve for x
   x = 26,534,455,236/103,061
6. Step 6: Final answer
   x = 257,463.59