Finding the Third Proportional to 35,179.31 and 77,194.69

Step by Step Solution

1. Step 1: Write the proportion equation
   35,179.31 : 77,194.69 = 77,194.69 : x
2. Step 2: Convert to fraction form
   35,179.31/77,194.69 = 77,194.69/x
3. Step 3: Cross multiply
   35,179.31x = 77,194.69 × 77,194.69
4. Step 4: Simplify right side
   35,179.31x = 5,959,019,778.22
5. Step 5: Solve for x
   x = 5,959,019,778.22/35,179.31
6. Step 6: Final answer
   x = 169,389.89