Finding the Third Proportional to 77,126 and 116,662

Step by Step Solution

1. Step 1: Write the proportion equation
   77,126 : 116,662 = 116,662 : x
2. Step 2: Convert to fraction form
   77,126/116,662 = 116,662/x
3. Step 3: Cross multiply
   77,126x = 116,662 × 116,662
4. Step 4: Simplify right side
   77,126x = 13,610,022,244
5. Step 5: Solve for x
   x = 13,610,022,244/77,126
6. Step 6: Final answer
   x = 176,464.78