Finding the Third Proportional to 77,036 and 116,102

Step by Step Solution

1. Step 1: Write the proportion equation
   77,036 : 116,102 = 116,102 : x
2. Step 2: Convert to fraction form
   77,036/116,102 = 116,102/x
3. Step 3: Cross multiply
   77,036x = 116,102 × 116,102
4. Step 4: Simplify right side
   77,036x = 13,479,674,404
5. Step 5: Solve for x
   x = 13,479,674,404/77,036
6. Step 6: Final answer
   x = 174,978.90