Finding the Third Proportional to 152,866 and 236,211

Step by Step Solution

1. Step 1: Write the proportion equation
   152,866 : 236,211 = 236,211 : x
2. Step 2: Convert to fraction form
   152,866/236,211 = 236,211/x
3. Step 3: Cross multiply
   152,866x = 236,211 × 236,211
4. Step 4: Simplify right side
   152,866x = 55,795,636,521
5. Step 5: Solve for x
   x = 55,795,636,521/152,866
6. Step 6: Final answer
   x = 364,997.03