Finding the Third Proportional to 49,075.50 and 105,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,075.50 : 105,922.50 = 105,922.50 : x
2. Step 2: Convert to fraction form
   49,075.50/105,922.50 = 105,922.50/x
3. Step 3: Cross multiply
   49,075.50x = 105,922.50 × 105,922.50
4. Step 4: Simplify right side
   49,075.50x = 11,219,576,006.25
5. Step 5: Solve for x
   x = 11,219,576,006.25/49,075.50
6. Step 6: Final answer
   x = 228,618.68