Finding the Third Proportional to 118,947 and 184,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,947 : 184,096.50 = 184,096.50 : x
2. Step 2: Convert to fraction form
   118,947/184,096.50 = 184,096.50/x
3. Step 3: Cross multiply
   118,947x = 184,096.50 × 184,096.50
4. Step 4: Simplify right side
   118,947x = 33,891,521,312.25
5. Step 5: Solve for x
   x = 33,891,521,312.25/118,947
6. Step 6: Final answer
   x = 284,929.60