Finding the Third Proportional to 258,538.50 and 386,253

Step by Step Solution

1. Step 1: Write the proportion equation
   258,538.50 : 386,253 = 386,253 : x
2. Step 2: Convert to fraction form
   258,538.50/386,253 = 386,253/x
3. Step 3: Cross multiply
   258,538.50x = 386,253 × 386,253
4. Step 4: Simplify right side
   258,538.50x = 149,191,380,009
5. Step 5: Solve for x
   x = 149,191,380,009/258,538.50
6. Step 6: Final answer
   x = 577,056.72