Finding the Third Proportional to 178,364 and 261,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,364 : 261,146.50 = 261,146.50 : x
2. Step 2: Convert to fraction form
   178,364/261,146.50 = 261,146.50/x
3. Step 3: Cross multiply
   178,364x = 261,146.50 × 261,146.50
4. Step 4: Simplify right side
   178,364x = 68,197,494,462.25
5. Step 5: Solve for x
   x = 68,197,494,462.25/178,364
6. Step 6: Final answer
   x = 382,350.11