Finding the Third Proportional to 78,051 and 184,188

Step by Step Solution

1. Step 1: Write the proportion equation
   78,051 : 184,188 = 184,188 : x
2. Step 2: Convert to fraction form
   78,051/184,188 = 184,188/x
3. Step 3: Cross multiply
   78,051x = 184,188 × 184,188
4. Step 4: Simplify right side
   78,051x = 33,925,219,344
5. Step 5: Solve for x
   x = 33,925,219,344/78,051
6. Step 6: Final answer
   x = 434,654.51