Finding the Third Proportional to 152,864 and 236,208

Step by Step Solution

1. Step 1: Write the proportion equation
   152,864 : 236,208 = 236,208 : x
2. Step 2: Convert to fraction form
   152,864/236,208 = 236,208/x
3. Step 3: Cross multiply
   152,864x = 236,208 × 236,208
4. Step 4: Simplify right side
   152,864x = 55,794,219,264
5. Step 5: Solve for x
   x = 55,794,219,264/152,864
6. Step 6: Final answer
   x = 364,992.54