Finding the Third Proportional to 178,606 and 242,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,606 : 242,563.50 = 242,563.50 : x
2. Step 2: Convert to fraction form
   178,606/242,563.50 = 242,563.50/x
3. Step 3: Cross multiply
   178,606x = 242,563.50 × 242,563.50
4. Step 4: Simplify right side
   178,606x = 58,837,051,532.25
5. Step 5: Solve for x
   x = 58,837,051,532.25/178,606
6. Step 6: Final answer
   x = 329,423.71