Finding the Third Proportional to 258,475.50 and 377,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,475.50 : 377,680.50 = 377,680.50 : x
2. Step 2: Convert to fraction form
   258,475.50/377,680.50 = 377,680.50/x
3. Step 3: Cross multiply
   258,475.50x = 377,680.50 × 377,680.50
4. Step 4: Simplify right side
   258,475.50x = 142,642,560,080.25
5. Step 5: Solve for x
   x = 142,642,560,080.25/258,475.50
6. Step 6: Final answer
   x = 551,861.05