Finding the Third Proportional to 105,776 and 143,584

Step by Step Solution

1. Step 1: Write the proportion equation
   105,776 : 143,584 = 143,584 : x
2. Step 2: Convert to fraction form
   105,776/143,584 = 143,584/x
3. Step 3: Cross multiply
   105,776x = 143,584 × 143,584
4. Step 4: Simplify right side
   105,776x = 20,616,365,056
5. Step 5: Solve for x
   x = 20,616,365,056/105,776
6. Step 6: Final answer
   x = 194,905.89