Finding the Third Proportional to 107,091 and 156,796

Step by Step Solution

1. Step 1: Write the proportion equation
   107,091 : 156,796 = 156,796 : x
2. Step 2: Convert to fraction form
   107,091/156,796 = 156,796/x
3. Step 3: Cross multiply
   107,091x = 156,796 × 156,796
4. Step 4: Simplify right side
   107,091x = 24,584,985,616
5. Step 5: Solve for x
   x = 24,584,985,616/107,091
6. Step 6: Final answer
   x = 229,570.98