Finding the Third Proportional to 121,509 and 182,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,509 : 182,261.50 = 182,261.50 : x
2. Step 2: Convert to fraction form
   121,509/182,261.50 = 182,261.50/x
3. Step 3: Cross multiply
   121,509x = 182,261.50 × 182,261.50
4. Step 4: Simplify right side
   121,509x = 33,219,254,382.25
5. Step 5: Solve for x
   x = 33,219,254,382.25/121,509
6. Step 6: Final answer
   x = 273,389.25