Finding the Third Proportional to 152,982 and 206,118

Step by Step Solution

1. Step 1: Write the proportion equation
   152,982 : 206,118 = 206,118 : x
2. Step 2: Convert to fraction form
   152,982/206,118 = 206,118/x
3. Step 3: Cross multiply
   152,982x = 206,118 × 206,118
4. Step 4: Simplify right side
   152,982x = 42,484,629,924
5. Step 5: Solve for x
   x = 42,484,629,924/152,982
6. Step 6: Final answer
   x = 277,709.99