Finding the Third Proportional to 49,255 and 102,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,255 : 102,013.50 = 102,013.50 : x
2. Step 2: Convert to fraction form
   49,255/102,013.50 = 102,013.50/x
3. Step 3: Cross multiply
   49,255x = 102,013.50 × 102,013.50
4. Step 4: Simplify right side
   49,255x = 10,406,754,182.25
5. Step 5: Solve for x
   x = 10,406,754,182.25/49,255
6. Step 6: Final answer
   x = 211,283.20