Finding the Third Proportional to 133,977 and 184,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,977 : 184,561.50 = 184,561.50 : x
2. Step 2: Convert to fraction form
   133,977/184,561.50 = 184,561.50/x
3. Step 3: Cross multiply
   133,977x = 184,561.50 × 184,561.50
4. Step 4: Simplify right side
   133,977x = 34,062,947,282.25
5. Step 5: Solve for x
   x = 34,062,947,282.25/133,977
6. Step 6: Final answer
   x = 254,244.74