Finding the Third Proportional to 148,506 and 320,196

Step by Step Solution

1. Step 1: Write the proportion equation
   148,506 : 320,196 = 320,196 : x
2. Step 2: Convert to fraction form
   148,506/320,196 = 320,196/x
3. Step 3: Cross multiply
   148,506x = 320,196 × 320,196
4. Step 4: Simplify right side
   148,506x = 102,525,478,416
5. Step 5: Solve for x
   x = 102,525,478,416/148,506
6. Step 6: Final answer
   x = 690,379.37