Finding the Third Proportional to 147,848 and 262,864

Step by Step Solution

1. Step 1: Write the proportion equation
   147,848 : 262,864 = 262,864 : x
2. Step 2: Convert to fraction form
   147,848/262,864 = 262,864/x
3. Step 3: Cross multiply
   147,848x = 262,864 × 262,864
4. Step 4: Simplify right side
   147,848x = 69,097,482,496
5. Step 5: Solve for x
   x = 69,097,482,496/147,848
6. Step 6: Final answer
   x = 467,354.87