Finding the Third Proportional to 105,737 and 143,535

Step by Step Solution

1. Step 1: Write the proportion equation
   105,737 : 143,535 = 143,535 : x
2. Step 2: Convert to fraction form
   105,737/143,535 = 143,535/x
3. Step 3: Cross multiply
   105,737x = 143,535 × 143,535
4. Step 4: Simplify right side
   105,737x = 20,602,296,225
5. Step 5: Solve for x
   x = 20,602,296,225/105,737
6. Step 6: Final answer
   x = 194,844.72