Finding the Third Proportional to 116,664 and 185,505

Step by Step Solution

1. Step 1: Write the proportion equation
   116,664 : 185,505 = 185,505 : x
2. Step 2: Convert to fraction form
   116,664/185,505 = 185,505/x
3. Step 3: Cross multiply
   116,664x = 185,505 × 185,505
4. Step 4: Simplify right side
   116,664x = 34,412,105,025
5. Step 5: Solve for x
   x = 34,412,105,025/116,664
6. Step 6: Final answer
   x = 294,967.64