Finding the Third Proportional to 147,814 and 262,796

Step by Step Solution

1. Step 1: Write the proportion equation
   147,814 : 262,796 = 262,796 : x
2. Step 2: Convert to fraction form
   147,814/262,796 = 262,796/x
3. Step 3: Cross multiply
   147,814x = 262,796 × 262,796
4. Step 4: Simplify right side
   147,814x = 69,061,737,616
5. Step 5: Solve for x
   x = 69,061,737,616/147,814
6. Step 6: Final answer
   x = 467,220.54