Finding the Third Proportional to 116,389.13 and 185,959.69

Step by Step Solution

1. Step 1: Write the proportion equation
   116,389.13 : 185,959.69 = 185,959.69 : x
2. Step 2: Convert to fraction form
   116,389.13/185,959.69 = 185,959.69/x
3. Step 3: Cross multiply
   116,389.13x = 185,959.69 × 185,959.69
4. Step 4: Simplify right side
   116,389.13x = 34,581,005,375.10
5. Step 5: Solve for x
   x = 34,581,005,375.10/116,389.13
6. Step 6: Final answer
   x = 297,115.43