Finding the Third Proportional to 177,768 and 388,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,768 : 388,792.50 = 388,792.50 : x
2. Step 2: Convert to fraction form
   177,768/388,792.50 = 388,792.50/x
3. Step 3: Cross multiply
   177,768x = 388,792.50 × 388,792.50
4. Step 4: Simplify right side
   177,768x = 151,159,608,056.25
5. Step 5: Solve for x
   x = 151,159,608,056.25/177,768
6. Step 6: Final answer
   x = 850,319.56