Finding the Third Proportional to 148,936 and 321,196

Step by Step Solution

1. Step 1: Write the proportion equation
   148,936 : 321,196 = 321,196 : x
2. Step 2: Convert to fraction form
   148,936/321,196 = 321,196/x
3. Step 3: Cross multiply
   148,936x = 321,196 × 321,196
4. Step 4: Simplify right side
   148,936x = 103,166,870,416
5. Step 5: Solve for x
   x = 103,166,870,416/148,936
6. Step 6: Final answer
   x = 692,692.64