Finding the Third Proportional to 185,269.50 and 377,100

Step by Step Solution

1. Step 1: Write the proportion equation
   185,269.50 : 377,100 = 377,100 : x
2. Step 2: Convert to fraction form
   185,269.50/377,100 = 377,100/x
3. Step 3: Cross multiply
   185,269.50x = 377,100 × 377,100
4. Step 4: Simplify right side
   185,269.50x = 142,204,410,000
5. Step 5: Solve for x
   x = 142,204,410,000/185,269.50
6. Step 6: Final answer
   x = 767,554.35