Finding the Third Proportional to 49,584 and 109,010

Step by Step Solution

1. Step 1: Write the proportion equation
   49,584 : 109,010 = 109,010 : x
2. Step 2: Convert to fraction form
   49,584/109,010 = 109,010/x
3. Step 3: Cross multiply
   49,584x = 109,010 × 109,010
4. Step 4: Simplify right side
   49,584x = 11,883,180,100
5. Step 5: Solve for x
   x = 11,883,180,100/49,584
6. Step 6: Final answer
   x = 239,657.55