Finding the Third Proportional to 85,010 and 184,924

Step by Step Solution

1. Step 1: Write the proportion equation
   85,010 : 184,924 = 184,924 : x
2. Step 2: Convert to fraction form
   85,010/184,924 = 184,924/x
3. Step 3: Cross multiply
   85,010x = 184,924 × 184,924
4. Step 4: Simplify right side
   85,010x = 34,196,885,776
5. Step 5: Solve for x
   x = 34,196,885,776/85,010
6. Step 6: Final answer
   x = 402,268.98