Finding the Third Proportional to 152,982 and 215,052

Step by Step Solution

1. Step 1: Write the proportion equation
   152,982 : 215,052 = 215,052 : x
2. Step 2: Convert to fraction form
   152,982/215,052 = 215,052/x
3. Step 3: Cross multiply
   152,982x = 215,052 × 215,052
4. Step 4: Simplify right side
   152,982x = 46,247,362,704
5. Step 5: Solve for x
   x = 46,247,362,704/152,982
6. Step 6: Final answer
   x = 302,305.91