Finding the Third Proportional to 78,010 and 184,088

Step by Step Solution

1. Step 1: Write the proportion equation
   78,010 : 184,088 = 184,088 : x
2. Step 2: Convert to fraction form
   78,010/184,088 = 184,088/x
3. Step 3: Cross multiply
   78,010x = 184,088 × 184,088
4. Step 4: Simplify right side
   78,010x = 33,888,391,744
5. Step 5: Solve for x
   x = 33,888,391,744/78,010
6. Step 6: Final answer
   x = 434,410.87