Finding the Third Proportional to 116,389.50 and 185,960.25

Step by Step Solution

1. Step 1: Write the proportion equation
   116,389.50 : 185,960.25 = 185,960.25 : x
2. Step 2: Convert to fraction form
   116,389.50/185,960.25 = 185,960.25/x
3. Step 3: Cross multiply
   116,389.50x = 185,960.25 × 185,960.25
4. Step 4: Simplify right side
   116,389.50x = 34,581,214,580.06
5. Step 5: Solve for x
   x = 34,581,214,580.06/116,389.50
6. Step 6: Final answer
   x = 297,116.27