Finding the Third Proportional to 176,542 and 226,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,542 : 226,675.50 = 226,675.50 : x
2. Step 2: Convert to fraction form
   176,542/226,675.50 = 226,675.50/x
3. Step 3: Cross multiply
   176,542x = 226,675.50 × 226,675.50
4. Step 4: Simplify right side
   176,542x = 51,381,782,300.25
5. Step 5: Solve for x
   x = 51,381,782,300.25/176,542
6. Step 6: Final answer
   x = 291,045.66