Finding the Third Proportional to 49,549 and 108,152

Step by Step Solution

1. Step 1: Write the proportion equation
   49,549 : 108,152 = 108,152 : x
2. Step 2: Convert to fraction form
   49,549/108,152 = 108,152/x
3. Step 3: Cross multiply
   49,549x = 108,152 × 108,152
4. Step 4: Simplify right side
   49,549x = 11,696,855,104
5. Step 5: Solve for x
   x = 11,696,855,104/49,549
6. Step 6: Final answer
   x = 236,066.42