Finding the Third Proportional to 152,004 and 235,388

Step by Step Solution

1. Step 1: Write the proportion equation
   152,004 : 235,388 = 235,388 : x
2. Step 2: Convert to fraction form
   152,004/235,388 = 235,388/x
3. Step 3: Cross multiply
   152,004x = 235,388 × 235,388
4. Step 4: Simplify right side
   152,004x = 55,407,510,544
5. Step 5: Solve for x
   x = 55,407,510,544/152,004
6. Step 6: Final answer
   x = 364,513.50