Finding the Third Proportional to 258,066 and 379,505.25

Step by Step Solution

1. Step 1: Write the proportion equation
   258,066 : 379,505.25 = 379,505.25 : x
2. Step 2: Convert to fraction form
   258,066/379,505.25 = 379,505.25/x
3. Step 3: Cross multiply
   258,066x = 379,505.25 × 379,505.25
4. Step 4: Simplify right side
   258,066x = 144,024,234,777.56
5. Step 5: Solve for x
   x = 144,024,234,777.56/258,066
6. Step 6: Final answer
   x = 558,090.70