Finding the Third Proportional to 114,530 and 164,955

Step by Step Solution

1. Step 1: Write the proportion equation
   114,530 : 164,955 = 164,955 : x
2. Step 2: Convert to fraction form
   114,530/164,955 = 164,955/x
3. Step 3: Cross multiply
   114,530x = 164,955 × 164,955
4. Step 4: Simplify right side
   114,530x = 27,210,152,025
5. Step 5: Solve for x
   x = 27,210,152,025/114,530
6. Step 6: Final answer
   x = 237,581.00