Finding the Third Proportional to 121,014 and 184,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,014 : 184,801.50 = 184,801.50 : x
2. Step 2: Convert to fraction form
   121,014/184,801.50 = 184,801.50/x
3. Step 3: Cross multiply
   121,014x = 184,801.50 × 184,801.50
4. Step 4: Simplify right side
   121,014x = 34,151,594,402.25
5. Step 5: Solve for x
   x = 34,151,594,402.25/121,014
6. Step 6: Final answer
   x = 282,211.93