Finding the Third Proportional to 127,672.50 and 178,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,672.50 : 178,906.50 = 178,906.50 : x
2. Step 2: Convert to fraction form
   127,672.50/178,906.50 = 178,906.50/x
3. Step 3: Cross multiply
   127,672.50x = 178,906.50 × 178,906.50
4. Step 4: Simplify right side
   127,672.50x = 32,007,535,742.25
5. Step 5: Solve for x
   x = 32,007,535,742.25/127,672.50
6. Step 6: Final answer
   x = 250,700.31