Finding the Third Proportional to 177,813 and 387,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,813 : 387,580.50 = 387,580.50 : x
2. Step 2: Convert to fraction form
   177,813/387,580.50 = 387,580.50/x
3. Step 3: Cross multiply
   177,813x = 387,580.50 × 387,580.50
4. Step 4: Simplify right side
   177,813x = 150,218,643,980.25
5. Step 5: Solve for x
   x = 150,218,643,980.25/177,813
6. Step 6: Final answer
   x = 844,812.49