Finding the Third Proportional to 401,102 and 601,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,102 : 601,739.50 = 601,739.50 : x
2. Step 2: Convert to fraction form
   401,102/601,739.50 = 601,739.50/x
3. Step 3: Cross multiply
   401,102x = 601,739.50 × 601,739.50
4. Step 4: Simplify right side
   401,102x = 362,090,425,860.25
5. Step 5: Solve for x
   x = 362,090,425,860.25/401,102
6. Step 6: Final answer
   x = 902,739.02