Finding the Third Proportional to 78,583.50 and 164,865

Step by Step Solution

1. Step 1: Write the proportion equation
   78,583.50 : 164,865 = 164,865 : x
2. Step 2: Convert to fraction form
   78,583.50/164,865 = 164,865/x
3. Step 3: Cross multiply
   78,583.50x = 164,865 × 164,865
4. Step 4: Simplify right side
   78,583.50x = 27,180,468,225
5. Step 5: Solve for x
   x = 27,180,468,225/78,583.50
6. Step 6: Final answer
   x = 345,880.09