Finding the Third Proportional to 185,263.50 and 377,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,263.50 : 377,074.50 = 377,074.50 : x
2. Step 2: Convert to fraction form
   185,263.50/377,074.50 = 377,074.50/x
3. Step 3: Cross multiply
   185,263.50x = 377,074.50 × 377,074.50
4. Step 4: Simplify right side
   185,263.50x = 142,185,178,550.25
5. Step 5: Solve for x
   x = 142,185,178,550.25/185,263.50
6. Step 6: Final answer
   x = 767,475.40