Finding the Third Proportional to 64,164 and 155,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,164 : 155,488.50 = 155,488.50 : x
2. Step 2: Convert to fraction form
   64,164/155,488.50 = 155,488.50/x
3. Step 3: Cross multiply
   64,164x = 155,488.50 × 155,488.50
4. Step 4: Simplify right side
   64,164x = 24,176,673,632.25
5. Step 5: Solve for x
   x = 24,176,673,632.25/64,164
6. Step 6: Final answer
   x = 376,794.99