Finding the Third Proportional to 110,784 and 171,866.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,784 : 171,866.50 = 171,866.50 : x
2. Step 2: Convert to fraction form
   110,784/171,866.50 = 171,866.50/x
3. Step 3: Cross multiply
   110,784x = 171,866.50 × 171,866.50
4. Step 4: Simplify right side
   110,784x = 29,538,093,822.25
5. Step 5: Solve for x
   x = 29,538,093,822.25/110,784
6. Step 6: Final answer
   x = 266,627.80