Finding the Third Proportional to 77,606 and 116,601

Step by Step Solution

1. Step 1: Write the proportion equation
   77,606 : 116,601 = 116,601 : x
2. Step 2: Convert to fraction form
   77,606/116,601 = 116,601/x
3. Step 3: Cross multiply
   77,606x = 116,601 × 116,601
4. Step 4: Simplify right side
   77,606x = 13,595,793,201
5. Step 5: Solve for x
   x = 13,595,793,201/77,606
6. Step 6: Final answer
   x = 175,189.98