Finding the Third Proportional to 177,335 and 389,121.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,335 : 389,121.50 = 389,121.50 : x
2. Step 2: Convert to fraction form
   177,335/389,121.50 = 389,121.50/x
3. Step 3: Cross multiply
   177,335x = 389,121.50 × 389,121.50
4. Step 4: Simplify right side
   177,335x = 151,415,541,762.25
5. Step 5: Solve for x
   x = 151,415,541,762.25/177,335
6. Step 6: Final answer
   x = 853,839.02