Finding the Third Proportional to 49,254.50 and 102,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,254.50 : 102,012.50 = 102,012.50 : x
2. Step 2: Convert to fraction form
   49,254.50/102,012.50 = 102,012.50/x
3. Step 3: Cross multiply
   49,254.50x = 102,012.50 × 102,012.50
4. Step 4: Simplify right side
   49,254.50x = 10,406,550,156.25
5. Step 5: Solve for x
   x = 10,406,550,156.25/49,254.50
6. Step 6: Final answer
   x = 211,281.21