Finding the Third Proportional to 83,496.50 and 179,137

Step by Step Solution

1. Step 1: Write the proportion equation
   83,496.50 : 179,137 = 179,137 : x
2. Step 2: Convert to fraction form
   83,496.50/179,137 = 179,137/x
3. Step 3: Cross multiply
   83,496.50x = 179,137 × 179,137
4. Step 4: Simplify right side
   83,496.50x = 32,090,064,769
5. Step 5: Solve for x
   x = 32,090,064,769/83,496.50
6. Step 6: Final answer
   x = 384,328.26