Finding the Third Proportional to 118,354.50 and 178,760.25

Step by Step Solution

1. Step 1: Write the proportion equation
   118,354.50 : 178,760.25 = 178,760.25 : x
2. Step 2: Convert to fraction form
   118,354.50/178,760.25 = 178,760.25/x
3. Step 3: Cross multiply
   118,354.50x = 178,760.25 × 178,760.25
4. Step 4: Simplify right side
   118,354.50x = 31,955,226,980.06
5. Step 5: Solve for x
   x = 31,955,226,980.06/118,354.50
6. Step 6: Final answer
   x = 269,995.88