Finding the Third Proportional to 118,663.50 and 178,500

Step by Step Solution

1. Step 1: Write the proportion equation
   118,663.50 : 178,500 = 178,500 : x
2. Step 2: Convert to fraction form
   118,663.50/178,500 = 178,500/x
3. Step 3: Cross multiply
   118,663.50x = 178,500 × 178,500
4. Step 4: Simplify right side
   118,663.50x = 31,862,250,000
5. Step 5: Solve for x
   x = 31,862,250,000/118,663.50
6. Step 6: Final answer
   x = 268,509.27