Finding the Third Proportional to 148,384 and 227,488

Step by Step Solution

1. Step 1: Write the proportion equation
   148,384 : 227,488 = 227,488 : x
2. Step 2: Convert to fraction form
   148,384/227,488 = 227,488/x
3. Step 3: Cross multiply
   148,384x = 227,488 × 227,488
4. Step 4: Simplify right side
   148,384x = 51,750,790,144
5. Step 5: Solve for x
   x = 51,750,790,144/148,384
6. Step 6: Final answer
   x = 348,762.60