Finding the Third Proportional to 105,776 and 151,496

Step by Step Solution

1. Step 1: Write the proportion equation
   105,776 : 151,496 = 151,496 : x
2. Step 2: Convert to fraction form
   105,776/151,496 = 151,496/x
3. Step 3: Cross multiply
   105,776x = 151,496 × 151,496
4. Step 4: Simplify right side
   105,776x = 22,951,038,016
5. Step 5: Solve for x
   x = 22,951,038,016/105,776
6. Step 6: Final answer
   x = 216,977.75