Finding the Third Proportional to 106,144 and 156,786

Step by Step Solution

1. Step 1: Write the proportion equation
   106,144 : 156,786 = 156,786 : x
2. Step 2: Convert to fraction form
   106,144/156,786 = 156,786/x
3. Step 3: Cross multiply
   106,144x = 156,786 × 156,786
4. Step 4: Simplify right side
   106,144x = 24,581,849,796
5. Step 5: Solve for x
   x = 24,581,849,796/106,144
6. Step 6: Final answer
   x = 231,589.63