Finding the Third Proportional to 78,234 and 160,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,234 : 160,186.50 = 160,186.50 : x
2. Step 2: Convert to fraction form
   78,234/160,186.50 = 160,186.50/x
3. Step 3: Cross multiply
   78,234x = 160,186.50 × 160,186.50
4. Step 4: Simplify right side
   78,234x = 25,659,714,782.25
5. Step 5: Solve for x
   x = 25,659,714,782.25/78,234
6. Step 6: Final answer
   x = 327,986.74