Finding the Third Proportional to 175,237.50 and 274,536

Step by Step Solution

1. Step 1: Write the proportion equation
   175,237.50 : 274,536 = 274,536 : x
2. Step 2: Convert to fraction form
   175,237.50/274,536 = 274,536/x
3. Step 3: Cross multiply
   175,237.50x = 274,536 × 274,536
4. Step 4: Simplify right side
   175,237.50x = 75,370,015,296
5. Step 5: Solve for x
   x = 75,370,015,296/175,237.50
6. Step 6: Final answer
   x = 430,102.09