Finding the Third Proportional to 78,232 and 160,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,232 : 160,182.50 = 160,182.50 : x
2. Step 2: Convert to fraction form
   78,232/160,182.50 = 160,182.50/x
3. Step 3: Cross multiply
   78,232x = 160,182.50 × 160,182.50
4. Step 4: Simplify right side
   78,232x = 25,658,433,306.25
5. Step 5: Solve for x
   x = 25,658,433,306.25/78,232
6. Step 6: Final answer
   x = 327,978.75