Finding the Third Proportional to 147,536 and 320,050

Step by Step Solution

1. Step 1: Write the proportion equation
   147,536 : 320,050 = 320,050 : x
2. Step 2: Convert to fraction form
   147,536/320,050 = 320,050/x
3. Step 3: Cross multiply
   147,536x = 320,050 × 320,050
4. Step 4: Simplify right side
   147,536x = 102,432,002,500
5. Step 5: Solve for x
   x = 102,432,002,500/147,536
6. Step 6: Final answer
   x = 694,284.80