Finding the Third Proportional to 401,080.50 and 601,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,080.50 : 601,699.50 = 601,699.50 : x
2. Step 2: Convert to fraction form
   401,080.50/601,699.50 = 601,699.50/x
3. Step 3: Cross multiply
   401,080.50x = 601,699.50 × 601,699.50
4. Step 4: Simplify right side
   401,080.50x = 362,042,288,300.25
5. Step 5: Solve for x
   x = 362,042,288,300.25/401,080.50
6. Step 6: Final answer
   x = 902,667.39