Finding the Third Proportional to 147,812 and 262,792

Step by Step Solution

1. Step 1: Write the proportion equation
   147,812 : 262,792 = 262,792 : x
2. Step 2: Convert to fraction form
   147,812/262,792 = 262,792/x
3. Step 3: Cross multiply
   147,812x = 262,792 × 262,792
4. Step 4: Simplify right side
   147,812x = 69,059,635,264
5. Step 5: Solve for x
   x = 69,059,635,264/147,812
6. Step 6: Final answer
   x = 467,212.64