Finding the Third Proportional to 49,599 and 107,038.69

Step by Step Solution

1. Step 1: Write the proportion equation
   49,599 : 107,038.69 = 107,038.69 : x
2. Step 2: Convert to fraction form
   49,599/107,038.69 = 107,038.69/x
3. Step 3: Cross multiply
   49,599x = 107,038.69 × 107,038.69
4. Step 4: Simplify right side
   49,599x = 11,457,280,621.72
5. Step 5: Solve for x
   x = 11,457,280,621.72/49,599
6. Step 6: Final answer
   x = 230,998.22