Finding the Third Proportional to 152,826 and 236,164

Step by Step Solution

1. Step 1: Write the proportion equation
   152,826 : 236,164 = 236,164 : x
2. Step 2: Convert to fraction form
   152,826/236,164 = 236,164/x
3. Step 3: Cross multiply
   152,826x = 236,164 × 236,164
4. Step 4: Simplify right side
   152,826x = 55,773,434,896
5. Step 5: Solve for x
   x = 55,773,434,896/152,826
6. Step 6: Final answer
   x = 364,947.29