Finding the Third Proportional to 115,933.50 and 184,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,933.50 : 184,419.50 = 184,419.50 : x
2. Step 2: Convert to fraction form
   115,933.50/184,419.50 = 184,419.50/x
3. Step 3: Cross multiply
   115,933.50x = 184,419.50 × 184,419.50
4. Step 4: Simplify right side
   115,933.50x = 34,010,551,980.25
5. Step 5: Solve for x
   x = 34,010,551,980.25/115,933.50
6. Step 6: Final answer
   x = 293,362.59