Finding the Third Proportional to 46,883.50 and 101,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,883.50 : 101,097.50 = 101,097.50 : x
2. Step 2: Convert to fraction form
   46,883.50/101,097.50 = 101,097.50/x
3. Step 3: Cross multiply
   46,883.50x = 101,097.50 × 101,097.50
4. Step 4: Simplify right side
   46,883.50x = 10,220,704,506.25
5. Step 5: Solve for x
   x = 10,220,704,506.25/46,883.50
6. Step 6: Final answer
   x = 218,002.17