Finding the Third Proportional to 252,978.75 and 384,647.06

Step by Step Solution

1. Step 1: Write the proportion equation
   252,978.75 : 384,647.06 = 384,647.06 : x
2. Step 2: Convert to fraction form
   252,978.75/384,647.06 = 384,647.06/x
3. Step 3: Cross multiply
   252,978.75x = 384,647.06 × 384,647.06
4. Step 4: Simplify right side
   252,978.75x = 147,953,362,689.88
5. Step 5: Solve for x
   x = 147,953,362,689.88/252,978.75
6. Step 6: Final answer
   x = 584,845.02