Finding the Third Proportional to 171,886.50 and 377,667

Step by Step Solution

1. Step 1: Write the proportion equation
   171,886.50 : 377,667 = 377,667 : x
2. Step 2: Convert to fraction form
   171,886.50/377,667 = 377,667/x
3. Step 3: Cross multiply
   171,886.50x = 377,667 × 377,667
4. Step 4: Simplify right side
   171,886.50x = 142,632,362,889
5. Step 5: Solve for x
   x = 142,632,362,889/171,886.50
6. Step 6: Final answer
   x = 829,805.50