Finding the Third Proportional to 178,416 and 243,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,416 : 243,013.50 = 243,013.50 : x
2. Step 2: Convert to fraction form
   178,416/243,013.50 = 243,013.50/x
3. Step 3: Cross multiply
   178,416x = 243,013.50 × 243,013.50
4. Step 4: Simplify right side
   178,416x = 59,055,561,182.25
5. Step 5: Solve for x
   x = 59,055,561,182.25/178,416
6. Step 6: Final answer
   x = 330,999.24