Finding the Third Proportional to 49,312 and 105,776

Step by Step Solution

1. Step 1: Write the proportion equation
   49,312 : 105,776 = 105,776 : x
2. Step 2: Convert to fraction form
   49,312/105,776 = 105,776/x
3. Step 3: Cross multiply
   49,312x = 105,776 × 105,776
4. Step 4: Simplify right side
   49,312x = 11,188,562,176
5. Step 5: Solve for x
   x = 11,188,562,176/49,312
6. Step 6: Final answer
   x = 226,893.30