Finding the Third Proportional to 78,205.50 and 159,174

Step by Step Solution

1. Step 1: Write the proportion equation
   78,205.50 : 159,174 = 159,174 : x
2. Step 2: Convert to fraction form
   78,205.50/159,174 = 159,174/x
3. Step 3: Cross multiply
   78,205.50x = 159,174 × 159,174
4. Step 4: Simplify right side
   78,205.50x = 25,336,362,276
5. Step 5: Solve for x
   x = 25,336,362,276/78,205.50
6. Step 6: Final answer
   x = 323,971.62