Finding the Third Proportional to 116,608.50 and 180,066

Step by Step Solution

1. Step 1: Write the proportion equation
   116,608.50 : 180,066 = 180,066 : x
2. Step 2: Convert to fraction form
   116,608.50/180,066 = 180,066/x
3. Step 3: Cross multiply
   116,608.50x = 180,066 × 180,066
4. Step 4: Simplify right side
   116,608.50x = 32,423,764,356
5. Step 5: Solve for x
   x = 32,423,764,356/116,608.50
6. Step 6: Final answer
   x = 278,056.61