Finding the Third Proportional to 186,801 and 288,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,801 : 288,458.50 = 288,458.50 : x
2. Step 2: Convert to fraction form
   186,801/288,458.50 = 288,458.50/x
3. Step 3: Cross multiply
   186,801x = 288,458.50 × 288,458.50
4. Step 4: Simplify right side
   186,801x = 83,208,306,222.25
5. Step 5: Solve for x
   x = 83,208,306,222.25/186,801
6. Step 6: Final answer
   x = 445,438.23