Finding the Third Proportional to 49,547 and 108,148

Step by Step Solution

1. Step 1: Write the proportion equation
   49,547 : 108,148 = 108,148 : x
2. Step 2: Convert to fraction form
   49,547/108,148 = 108,148/x
3. Step 3: Cross multiply
   49,547x = 108,148 × 108,148
4. Step 4: Simplify right side
   49,547x = 11,695,989,904
5. Step 5: Solve for x
   x = 11,695,989,904/49,547
6. Step 6: Final answer
   x = 236,058.49