Finding the Third Proportional to 49,770 and 107,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,770 : 107,458.50 = 107,458.50 : x
2. Step 2: Convert to fraction form
   49,770/107,458.50 = 107,458.50/x
3. Step 3: Cross multiply
   49,770x = 107,458.50 × 107,458.50
4. Step 4: Simplify right side
   49,770x = 11,547,329,222.25
5. Step 5: Solve for x
   x = 11,547,329,222.25/49,770
6. Step 6: Final answer
   x = 232,013.85