Finding the Third Proportional to 178,368 and 261,151.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,368 : 261,151.50 = 261,151.50 : x
2. Step 2: Convert to fraction form
   178,368/261,151.50 = 261,151.50/x
3. Step 3: Cross multiply
   178,368x = 261,151.50 × 261,151.50
4. Step 4: Simplify right side
   178,368x = 68,200,105,952.25
5. Step 5: Solve for x
   x = 68,200,105,952.25/178,368
6. Step 6: Final answer
   x = 382,356.17