Finding the Third Proportional to 110,731.50 and 171,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,731.50 : 171,787.50 = 171,787.50 : x
2. Step 2: Convert to fraction form
   110,731.50/171,787.50 = 171,787.50/x
3. Step 3: Cross multiply
   110,731.50x = 171,787.50 × 171,787.50
4. Step 4: Simplify right side
   110,731.50x = 29,510,945,156.25
5. Step 5: Solve for x
   x = 29,510,945,156.25/110,731.50
6. Step 6: Final answer
   x = 266,509.03