Finding the Third Proportional to 46,947 and 101,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,947 : 101,266.50 = 101,266.50 : x
2. Step 2: Convert to fraction form
   46,947/101,266.50 = 101,266.50/x
3. Step 3: Cross multiply
   46,947x = 101,266.50 × 101,266.50
4. Step 4: Simplify right side
   46,947x = 10,254,904,022.25
5. Step 5: Solve for x
   x = 10,254,904,022.25/46,947
6. Step 6: Final answer
   x = 218,435.77