Finding the Third Proportional to 46,544 and 101,776

Step by Step Solution

1. Step 1: Write the proportion equation
   46,544 : 101,776 = 101,776 : x
2. Step 2: Convert to fraction form
   46,544/101,776 = 101,776/x
3. Step 3: Cross multiply
   46,544x = 101,776 × 101,776
4. Step 4: Simplify right side
   46,544x = 10,358,354,176
5. Step 5: Solve for x
   x = 10,358,354,176/46,544
6. Step 6: Final answer
   x = 222,549.72