Finding the Third Proportional to 109,657.50 and 227,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,657.50 : 227,931.50 = 227,931.50 : x
2. Step 2: Convert to fraction form
   109,657.50/227,931.50 = 227,931.50/x
3. Step 3: Cross multiply
   109,657.50x = 227,931.50 × 227,931.50
4. Step 4: Simplify right side
   109,657.50x = 51,952,768,692.25
5. Step 5: Solve for x
   x = 51,952,768,692.25/109,657.50
6. Step 6: Final answer
   x = 473,773.05