Finding the Third Proportional to 49,441.50 and 102,386

Step by Step Solution

1. Step 1: Write the proportion equation
   49,441.50 : 102,386 = 102,386 : x
2. Step 2: Convert to fraction form
   49,441.50/102,386 = 102,386/x
3. Step 3: Cross multiply
   49,441.50x = 102,386 × 102,386
4. Step 4: Simplify right side
   49,441.50x = 10,482,892,996
5. Step 5: Solve for x
   x = 10,482,892,996/49,441.50
6. Step 6: Final answer
   x = 212,026.19