Finding the Third Proportional to 148,333.50 and 320,427

Step by Step Solution

1. Step 1: Write the proportion equation
   148,333.50 : 320,427 = 320,427 : x
2. Step 2: Convert to fraction form
   148,333.50/320,427 = 320,427/x
3. Step 3: Cross multiply
   148,333.50x = 320,427 × 320,427
4. Step 4: Simplify right side
   148,333.50x = 102,673,462,329
5. Step 5: Solve for x
   x = 102,673,462,329/148,333.50
6. Step 6: Final answer
   x = 692,179.87