Finding the Third Proportional to 175,221.98 and 274,510.27

Step by Step Solution

1. Step 1: Write the proportion equation
   175,221.98 : 274,510.27 = 274,510.27 : x
2. Step 2: Convert to fraction form
   175,221.98/274,510.27 = 274,510.27/x
3. Step 3: Cross multiply
   175,221.98x = 274,510.27 × 274,510.27
4. Step 4: Simplify right side
   175,221.98x = 75,355,885,933.51
5. Step 5: Solve for x
   x = 75,355,885,933.51/175,221.98
6. Step 6: Final answer
   x = 430,059.54