Finding the Third Proportional to 419,695.50 and 899,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419,695.50 : 899,272.50 = 899,272.50 : x
2. Step 2: Convert to fraction form
   419,695.50/899,272.50 = 899,272.50/x
3. Step 3: Cross multiply
   419,695.50x = 899,272.50 × 899,272.50
4. Step 4: Simplify right side
   419,695.50x = 808,691,029,256.25
5. Step 5: Solve for x
   x = 808,691,029,256.25/419,695.50
6. Step 6: Final answer
   x = 1,926,851.80