Finding the Third Proportional to 171,853.50 and 377,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,853.50 : 377,559.50 = 377,559.50 : x
2. Step 2: Convert to fraction form
   171,853.50/377,559.50 = 377,559.50/x
3. Step 3: Cross multiply
   171,853.50x = 377,559.50 × 377,559.50
4. Step 4: Simplify right side
   171,853.50x = 142,551,176,040.25
5. Step 5: Solve for x
   x = 142,551,176,040.25/171,853.50
6. Step 6: Final answer
   x = 829,492.42