Finding the Third Proportional to 177,735 and 389,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,735 : 389,911.50 = 389,911.50 : x
2. Step 2: Convert to fraction form
   177,735/389,911.50 = 389,911.50/x
3. Step 3: Cross multiply
   177,735x = 389,911.50 × 389,911.50
4. Step 4: Simplify right side
   177,735x = 152,030,977,832.25
5. Step 5: Solve for x
   x = 152,030,977,832.25/177,735
6. Step 6: Final answer
   x = 855,380.08