Finding the Third Proportional to 258,061.50 and 379,502.25

Step by Step Solution

1. Step 1: Write the proportion equation
   258,061.50 : 379,502.25 = 379,502.25 : x
2. Step 2: Convert to fraction form
   258,061.50/379,502.25 = 379,502.25/x
3. Step 3: Cross multiply
   258,061.50x = 379,502.25 × 379,502.25
4. Step 4: Simplify right side
   258,061.50x = 144,021,957,755.06
5. Step 5: Solve for x
   x = 144,021,957,755.06/258,061.50
6. Step 6: Final answer
   x = 558,091.61