Finding the Third Proportional to 493,727.50 and 661,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   493,727.50 : 661,858.50 = 661,858.50 : x
2. Step 2: Convert to fraction form
   493,727.50/661,858.50 = 661,858.50/x
3. Step 3: Cross multiply
   493,727.50x = 661,858.50 × 661,858.50
4. Step 4: Simplify right side
   493,727.50x = 438,056,674,022.25
5. Step 5: Solve for x
   x = 438,056,674,022.25/493,727.50
6. Step 6: Final answer
   x = 887,243.82