Finding the Third Proportional to 49,738 and 101,776

Step by Step Solution

1. Step 1: Write the proportion equation
   49,738 : 101,776 = 101,776 : x
2. Step 2: Convert to fraction form
   49,738/101,776 = 101,776/x
3. Step 3: Cross multiply
   49,738x = 101,776 × 101,776
4. Step 4: Simplify right side
   49,738x = 10,358,354,176
5. Step 5: Solve for x
   x = 10,358,354,176/49,738
6. Step 6: Final answer
   x = 208,258.36