Finding the Third Proportional to 116,664 and 180,988

Step by Step Solution

1. Step 1: Write the proportion equation
   116,664 : 180,988 = 180,988 : x
2. Step 2: Convert to fraction form
   116,664/180,988 = 180,988/x
3. Step 3: Cross multiply
   116,664x = 180,988 × 180,988
4. Step 4: Simplify right side
   116,664x = 32,756,656,144
5. Step 5: Solve for x
   x = 32,756,656,144/116,664
6. Step 6: Final answer
   x = 280,777.76