Finding the Third Proportional to 107,086 and 156,788

Step by Step Solution

1. Step 1: Write the proportion equation
   107,086 : 156,788 = 156,788 : x
2. Step 2: Convert to fraction form
   107,086/156,788 = 156,788/x
3. Step 3: Cross multiply
   107,086x = 156,788 × 156,788
4. Step 4: Simplify right side
   107,086x = 24,582,476,944
5. Step 5: Solve for x
   x = 24,582,476,944/107,086
6. Step 6: Final answer
   x = 229,558.27