Finding the Third Proportional to 77,138 and 116,526

Step by Step Solution

1. Step 1: Write the proportion equation
   77,138 : 116,526 = 116,526 : x
2. Step 2: Convert to fraction form
   77,138/116,526 = 116,526/x
3. Step 3: Cross multiply
   77,138x = 116,526 × 116,526
4. Step 4: Simplify right side
   77,138x = 13,578,308,676
5. Step 5: Solve for x
   x = 13,578,308,676/77,138
6. Step 6: Final answer
   x = 176,026.20