Finding the Third Proportional to 78,171 and 159,111

Step by Step Solution

1. Step 1: Write the proportion equation
   78,171 : 159,111 = 159,111 : x
2. Step 2: Convert to fraction form
   78,171/159,111 = 159,111/x
3. Step 3: Cross multiply
   78,171x = 159,111 × 159,111
4. Step 4: Simplify right side
   78,171x = 25,316,310,321
5. Step 5: Solve for x
   x = 25,316,310,321/78,171
6. Step 6: Final answer
   x = 323,858.08