Finding the Third Proportional to 122,811 and 183,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,811 : 183,458.50 = 183,458.50 : x
2. Step 2: Convert to fraction form
   122,811/183,458.50 = 183,458.50/x
3. Step 3: Cross multiply
   122,811x = 183,458.50 × 183,458.50
4. Step 4: Simplify right side
   122,811x = 33,657,021,222.25
5. Step 5: Solve for x
   x = 33,657,021,222.25/122,811
6. Step 6: Final answer
   x = 274,055.43