Finding the Third Proportional to 118,946 and 184,095

Step by Step Solution

1. Step 1: Write the proportion equation
   118,946 : 184,095 = 184,095 : x
2. Step 2: Convert to fraction form
   118,946/184,095 = 184,095/x
3. Step 3: Cross multiply
   118,946x = 184,095 × 184,095
4. Step 4: Simplify right side
   118,946x = 33,890,969,025
5. Step 5: Solve for x
   x = 33,890,969,025/118,946
6. Step 6: Final answer
   x = 284,927.35