Finding the Third Proportional to 81,888 and 179,052

Step by Step Solution

1. Step 1: Write the proportion equation
   81,888 : 179,052 = 179,052 : x
2. Step 2: Convert to fraction form
   81,888/179,052 = 179,052/x
3. Step 3: Cross multiply
   81,888x = 179,052 × 179,052
4. Step 4: Simplify right side
   81,888x = 32,059,618,704
5. Step 5: Solve for x
   x = 32,059,618,704/81,888
6. Step 6: Final answer
   x = 391,505.70