Finding the Third Proportional to 175,540.50 and 377,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,540.50 : 377,743.50 = 377,743.50 : x
2. Step 2: Convert to fraction form
   175,540.50/377,743.50 = 377,743.50/x
3. Step 3: Cross multiply
   175,540.50x = 377,743.50 × 377,743.50
4. Step 4: Simplify right side
   175,540.50x = 142,690,151,792.25
5. Step 5: Solve for x
   x = 142,690,151,792.25/175,540.50
6. Step 6: Final answer
   x = 812,861.71