Finding the Third Proportional to 185,267 and 377,095

Step by Step Solution

1. Step 1: Write the proportion equation
   185,267 : 377,095 = 377,095 : x
2. Step 2: Convert to fraction form
   185,267/377,095 = 377,095/x
3. Step 3: Cross multiply
   185,267x = 377,095 × 377,095
4. Step 4: Simplify right side
   185,267x = 142,200,639,025
5. Step 5: Solve for x
   x = 142,200,639,025/185,267
6. Step 6: Final answer
   x = 767,544.35