Finding the Third Proportional to 147,973.50 and 320,846

Step by Step Solution

1. Step 1: Write the proportion equation
   147,973.50 : 320,846 = 320,846 : x
2. Step 2: Convert to fraction form
   147,973.50/320,846 = 320,846/x
3. Step 3: Cross multiply
   147,973.50x = 320,846 × 320,846
4. Step 4: Simplify right side
   147,973.50x = 102,942,155,716
5. Step 5: Solve for x
   x = 102,942,155,716/147,973.50
6. Step 6: Final answer
   x = 695,679.67