Finding the Third Proportional to 47,740 and 105,362

Step by Step Solution

1. Step 1: Write the proportion equation
   47,740 : 105,362 = 105,362 : x
2. Step 2: Convert to fraction form
   47,740/105,362 = 105,362/x
3. Step 3: Cross multiply
   47,740x = 105,362 × 105,362
4. Step 4: Simplify right side
   47,740x = 11,101,151,044
5. Step 5: Solve for x
   x = 11,101,151,044/47,740
6. Step 6: Final answer
   x = 232,533.54