Finding the Third Proportional to 118,135.50 and 184,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,135.50 : 184,799.50 = 184,799.50 : x
2. Step 2: Convert to fraction form
   118,135.50/184,799.50 = 184,799.50/x
3. Step 3: Cross multiply
   118,135.50x = 184,799.50 × 184,799.50
4. Step 4: Simplify right side
   118,135.50x = 34,150,855,200.25
5. Step 5: Solve for x
   x = 34,150,855,200.25/118,135.50
6. Step 6: Final answer
   x = 289,082.07