Finding the Third Proportional to 85,827 and 179,501

Step by Step Solution

1. Step 1: Write the proportion equation
   85,827 : 179,501 = 179,501 : x
2. Step 2: Convert to fraction form
   85,827/179,501 = 179,501/x
3. Step 3: Cross multiply
   85,827x = 179,501 × 179,501
4. Step 4: Simplify right side
   85,827x = 32,220,609,001
5. Step 5: Solve for x
   x = 32,220,609,001/85,827
6. Step 6: Final answer
   x = 375,413.44