Finding the Third Proportional to 184,887 and 264,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,887 : 264,199.50 = 264,199.50 : x
2. Step 2: Convert to fraction form
   184,887/264,199.50 = 264,199.50/x
3. Step 3: Cross multiply
   184,887x = 264,199.50 × 264,199.50
4. Step 4: Simplify right side
   184,887x = 69,801,375,800.25
5. Step 5: Solve for x
   x = 69,801,375,800.25/184,887
6. Step 6: Final answer
   x = 377,535.34