Finding the Third Proportional to 177,732 and 389,905.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,732 : 389,905.50 = 389,905.50 : x
2. Step 2: Convert to fraction form
   177,732/389,905.50 = 389,905.50/x
3. Step 3: Cross multiply
   177,732x = 389,905.50 × 389,905.50
4. Step 4: Simplify right side
   177,732x = 152,026,298,930.25
5. Step 5: Solve for x
   x = 152,026,298,930.25/177,732
6. Step 6: Final answer
   x = 855,368.19