Finding the Third Proportional to 78,162.75 and 164,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,162.75 : 164,938.50 = 164,938.50 : x
2. Step 2: Convert to fraction form
   78,162.75/164,938.50 = 164,938.50/x
3. Step 3: Cross multiply
   78,162.75x = 164,938.50 × 164,938.50
4. Step 4: Simplify right side
   78,162.75x = 27,204,708,782.25
5. Step 5: Solve for x
   x = 27,204,708,782.25/78,162.75
6. Step 6: Final answer
   x = 348,052.09