Finding the Third Proportional to 152,913 and 236,205

Step by Step Solution

1. Step 1: Write the proportion equation
   152,913 : 236,205 = 236,205 : x
2. Step 2: Convert to fraction form
   152,913/236,205 = 236,205/x
3. Step 3: Cross multiply
   152,913x = 236,205 × 236,205
4. Step 4: Simplify right side
   152,913x = 55,792,802,025
5. Step 5: Solve for x
   x = 55,792,802,025/152,913
6. Step 6: Final answer
   x = 364,866.31