Finding the Third Proportional to 258,147 and 379,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,147 : 379,606.50 = 379,606.50 : x
2. Step 2: Convert to fraction form
   258,147/379,606.50 = 379,606.50/x
3. Step 3: Cross multiply
   258,147x = 379,606.50 × 379,606.50
4. Step 4: Simplify right side
   258,147x = 144,101,094,842.25
5. Step 5: Solve for x
   x = 144,101,094,842.25/258,147
6. Step 6: Final answer
   x = 558,213.32