Finding the Third Proportional to 114,096.50 and 254,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,096.50 : 254,427.50 = 254,427.50 : x
2. Step 2: Convert to fraction form
   114,096.50/254,427.50 = 254,427.50/x
3. Step 3: Cross multiply
   114,096.50x = 254,427.50 × 254,427.50
4. Step 4: Simplify right side
   114,096.50x = 64,733,352,756.25
5. Step 5: Solve for x
   x = 64,733,352,756.25/114,096.50
6. Step 6: Final answer
   x = 567,356.17