Finding the Third Proportional to 73,641 and 114,288

Step by Step Solution

1. Step 1: Write the proportion equation
   73,641 : 114,288 = 114,288 : x
2. Step 2: Convert to fraction form
   73,641/114,288 = 114,288/x
3. Step 3: Cross multiply
   73,641x = 114,288 × 114,288
4. Step 4: Simplify right side
   73,641x = 13,061,746,944
5. Step 5: Solve for x
   x = 13,061,746,944/73,641
6. Step 6: Final answer
   x = 177,370.58