Finding the Third Proportional to 49,641 and 107,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,641 : 107,056.50 = 107,056.50 : x
2. Step 2: Convert to fraction form
   49,641/107,056.50 = 107,056.50/x
3. Step 3: Cross multiply
   49,641x = 107,056.50 × 107,056.50
4. Step 4: Simplify right side
   49,641x = 11,461,094,192.25
5. Step 5: Solve for x
   x = 11,461,094,192.25/49,641
6. Step 6: Final answer
   x = 230,879.60