Finding the Third Proportional to 147,776.50 and 320,321

Step by Step Solution

1. Step 1: Write the proportion equation
   147,776.50 : 320,321 = 320,321 : x
2. Step 2: Convert to fraction form
   147,776.50/320,321 = 320,321/x
3. Step 3: Cross multiply
   147,776.50x = 320,321 × 320,321
4. Step 4: Simplify right side
   147,776.50x = 102,605,543,041
5. Step 5: Solve for x
   x = 102,605,543,041/147,776.50
6. Step 6: Final answer
   x = 694,329.23