Finding the Third Proportional to 177,051 and 274,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,051 : 274,144.50 = 274,144.50 : x
2. Step 2: Convert to fraction form
   177,051/274,144.50 = 274,144.50/x
3. Step 3: Cross multiply
   177,051x = 274,144.50 × 274,144.50
4. Step 4: Simplify right side
   177,051x = 75,155,206,880.25
5. Step 5: Solve for x
   x = 75,155,206,880.25/177,051
6. Step 6: Final answer
   x = 424,483.38