Finding the Third Proportional to 71,169 and 164,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,169 : 164,738.50 = 164,738.50 : x
2. Step 2: Convert to fraction form
   71,169/164,738.50 = 164,738.50/x
3. Step 3: Cross multiply
   71,169x = 164,738.50 × 164,738.50
4. Step 4: Simplify right side
   71,169x = 27,138,773,382.25
5. Step 5: Solve for x
   x = 27,138,773,382.25/71,169
6. Step 6: Final answer
   x = 381,328.58