Finding the Third Proportional to 56,148 and 121,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,148 : 121,738.50 = 121,738.50 : x
2. Step 2: Convert to fraction form
   56,148/121,738.50 = 121,738.50/x
3. Step 3: Cross multiply
   56,148x = 121,738.50 × 121,738.50
4. Step 4: Simplify right side
   56,148x = 14,820,262,382.25
5. Step 5: Solve for x
   x = 14,820,262,382.25/56,148
6. Step 6: Final answer
   x = 263,949.96