Finding the Third Proportional to 226,594 and 497,924

Step by Step Solution

1. Step 1: Write the proportion equation
   226,594 : 497,924 = 497,924 : x
2. Step 2: Convert to fraction form
   226,594/497,924 = 497,924/x
3. Step 3: Cross multiply
   226,594x = 497,924 × 497,924
4. Step 4: Simplify right side
   226,594x = 247,928,309,776
5. Step 5: Solve for x
   x = 247,928,309,776/226,594
6. Step 6: Final answer
   x = 1,094,152.14