Finding the Third Proportional to 152,003 and 233,309

Step by Step Solution

1. Step 1: Write the proportion equation
   152,003 : 233,309 = 233,309 : x
2. Step 2: Convert to fraction form
   152,003/233,309 = 233,309/x
3. Step 3: Cross multiply
   152,003x = 233,309 × 233,309
4. Step 4: Simplify right side
   152,003x = 54,433,089,481
5. Step 5: Solve for x
   x = 54,433,089,481/152,003
6. Step 6: Final answer
   x = 358,105.36