Finding the Third Proportional to 144,924 and 212,196

Step by Step Solution

1. Step 1: Write the proportion equation
   144,924 : 212,196 = 212,196 : x
2. Step 2: Convert to fraction form
   144,924/212,196 = 212,196/x
3. Step 3: Cross multiply
   144,924x = 212,196 × 212,196
4. Step 4: Simplify right side
   144,924x = 45,027,142,416
5. Step 5: Solve for x
   x = 45,027,142,416/144,924
6. Step 6: Final answer
   x = 310,694.86