Finding the Third Proportional to 178,567.50 and 242,516

Step by Step Solution

1. Step 1: Write the proportion equation
   178,567.50 : 242,516 = 242,516 : x
2. Step 2: Convert to fraction form
   178,567.50/242,516 = 242,516/x
3. Step 3: Cross multiply
   178,567.50x = 242,516 × 242,516
4. Step 4: Simplify right side
   178,567.50x = 58,814,010,256
5. Step 5: Solve for x
   x = 58,814,010,256/178,567.50
6. Step 6: Final answer
   x = 329,365.70