Finding the Third Proportional to 77,268 and 116,550

Step by Step Solution

1. Step 1: Write the proportion equation
   77,268 : 116,550 = 116,550 : x
2. Step 2: Convert to fraction form
   77,268/116,550 = 116,550/x
3. Step 3: Cross multiply
   77,268x = 116,550 × 116,550
4. Step 4: Simplify right side
   77,268x = 13,583,902,500
5. Step 5: Solve for x
   x = 13,583,902,500/77,268
6. Step 6: Final answer
   x = 175,802.43