Finding the Third Proportional to 148,500 and 320,184

Step by Step Solution

1. Step 1: Write the proportion equation
   148,500 : 320,184 = 320,184 : x
2. Step 2: Convert to fraction form
   148,500/320,184 = 320,184/x
3. Step 3: Cross multiply
   148,500x = 320,184 × 320,184
4. Step 4: Simplify right side
   148,500x = 102,517,793,856
5. Step 5: Solve for x
   x = 102,517,793,856/148,500
6. Step 6: Final answer
   x = 690,355.51