Finding the Third Proportional to 111,378 and 172,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,378 : 172,342.50 = 172,342.50 : x
2. Step 2: Convert to fraction form
   111,378/172,342.50 = 172,342.50/x
3. Step 3: Cross multiply
   111,378x = 172,342.50 × 172,342.50
4. Step 4: Simplify right side
   111,378x = 29,701,937,306.25
5. Step 5: Solve for x
   x = 29,701,937,306.25/111,378
6. Step 6: Final answer
   x = 266,676.88