Finding the Third Proportional to 115,451 and 184,429

Step by Step Solution

1. Step 1: Write the proportion equation
   115,451 : 184,429 = 184,429 : x
2. Step 2: Convert to fraction form
   115,451/184,429 = 184,429/x
3. Step 3: Cross multiply
   115,451x = 184,429 × 184,429
4. Step 4: Simplify right side
   115,451x = 34,014,056,041
5. Step 5: Solve for x
   x = 34,014,056,041/115,451
6. Step 6: Final answer
   x = 294,618.98