Finding the Third Proportional to 46,494 and 101,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,494 : 101,776.50 = 101,776.50 : x
2. Step 2: Convert to fraction form
   46,494/101,776.50 = 101,776.50/x
3. Step 3: Cross multiply
   46,494x = 101,776.50 × 101,776.50
4. Step 4: Simplify right side
   46,494x = 10,358,455,952.25
5. Step 5: Solve for x
   x = 10,358,455,952.25/46,494
6. Step 6: Final answer
   x = 222,791.24