Finding the Third Proportional to 77,123 and 116,656

Step by Step Solution

1. Step 1: Write the proportion equation
   77,123 : 116,656 = 116,656 : x
2. Step 2: Convert to fraction form
   77,123/116,656 = 116,656/x
3. Step 3: Cross multiply
   77,123x = 116,656 × 116,656
4. Step 4: Simplify right side
   77,123x = 13,608,622,336
5. Step 5: Solve for x
   x = 13,608,622,336/77,123
6. Step 6: Final answer
   x = 176,453.49