Finding the Third Proportional to 77,033 and 116,096

Step by Step Solution

1. Step 1: Write the proportion equation
   77,033 : 116,096 = 116,096 : x
2. Step 2: Convert to fraction form
   77,033/116,096 = 116,096/x
3. Step 3: Cross multiply
   77,033x = 116,096 × 116,096
4. Step 4: Simplify right side
   77,033x = 13,478,281,216
5. Step 5: Solve for x
   x = 13,478,281,216/77,033
6. Step 6: Final answer
   x = 174,967.63