Finding the Third Proportional to 254,316 and 384,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   254,316 : 384,754.50 = 384,754.50 : x
2. Step 2: Convert to fraction form
   254,316/384,754.50 = 384,754.50/x
3. Step 3: Cross multiply
   254,316x = 384,754.50 × 384,754.50
4. Step 4: Simplify right side
   254,316x = 148,036,025,270.25
5. Step 5: Solve for x
   x = 148,036,025,270.25/254,316
6. Step 6: Final answer
   x = 582,094.82