Finding the Third Proportional to 74,424 and 111,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,424 : 111,805.50 = 111,805.50 : x
2. Step 2: Convert to fraction form
   74,424/111,805.50 = 111,805.50/x
3. Step 3: Cross multiply
   74,424x = 111,805.50 × 111,805.50
4. Step 4: Simplify right side
   74,424x = 12,500,469,830.25
5. Step 5: Solve for x
   x = 12,500,469,830.25/74,424
6. Step 6: Final answer
   x = 167,962.89