Finding the Third Proportional to 105,798 and 143,525

Step by Step Solution

1. Step 1: Write the proportion equation
   105,798 : 143,525 = 143,525 : x
2. Step 2: Convert to fraction form
   105,798/143,525 = 143,525/x
3. Step 3: Cross multiply
   105,798x = 143,525 × 143,525
4. Step 4: Simplify right side
   105,798x = 20,599,425,625
5. Step 5: Solve for x
   x = 20,599,425,625/105,798
6. Step 6: Final answer
   x = 194,705.25