Finding the Third Proportional to 146,064 and 231,089

Step by Step Solution

1. Step 1: Write the proportion equation
   146,064 : 231,089 = 231,089 : x
2. Step 2: Convert to fraction form
   146,064/231,089 = 231,089/x
3. Step 3: Cross multiply
   146,064x = 231,089 × 231,089
4. Step 4: Simplify right side
   146,064x = 53,402,125,921
5. Step 5: Solve for x
   x = 53,402,125,921/146,064
6. Step 6: Final answer
   x = 365,607.72