Finding the Third Proportional to 177,360 and 377,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,360 : 377,722.50 = 377,722.50 : x
2. Step 2: Convert to fraction form
   177,360/377,722.50 = 377,722.50/x
3. Step 3: Cross multiply
   177,360x = 377,722.50 × 377,722.50
4. Step 4: Simplify right side
   177,360x = 142,674,287,006.25
5. Step 5: Solve for x
   x = 142,674,287,006.25/177,360
6. Step 6: Final answer
   x = 804,433.28