Finding the Third Proportional to 110,467.50 and 172,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,467.50 : 172,807.50 = 172,807.50 : x
2. Step 2: Convert to fraction form
   110,467.50/172,807.50 = 172,807.50/x
3. Step 3: Cross multiply
   110,467.50x = 172,807.50 × 172,807.50
4. Step 4: Simplify right side
   110,467.50x = 29,862,432,056.25
5. Step 5: Solve for x
   x = 29,862,432,056.25/110,467.50
6. Step 6: Final answer
   x = 270,327.76