Finding the Third Proportional to 116,446.50 and 164,805

Step by Step Solution

1. Step 1: Write the proportion equation
   116,446.50 : 164,805 = 164,805 : x
2. Step 2: Convert to fraction form
   116,446.50/164,805 = 164,805/x
3. Step 3: Cross multiply
   116,446.50x = 164,805 × 164,805
4. Step 4: Simplify right side
   116,446.50x = 27,160,688,025
5. Step 5: Solve for x
   x = 27,160,688,025/116,446.50
6. Step 6: Final answer
   x = 233,246.07