Finding the Third Proportional to 105,140 and 227,776

Step by Step Solution

1. Step 1: Write the proportion equation
   105,140 : 227,776 = 227,776 : x
2. Step 2: Convert to fraction form
   105,140/227,776 = 227,776/x
3. Step 3: Cross multiply
   105,140x = 227,776 × 227,776
4. Step 4: Simplify right side
   105,140x = 51,881,906,176
5. Step 5: Solve for x
   x = 51,881,906,176/105,140
6. Step 6: Final answer
   x = 493,455.45