Finding the Third Proportional to 223,746 and 473,412

Step by Step Solution

1. Step 1: Write the proportion equation
   223,746 : 473,412 = 473,412 : x
2. Step 2: Convert to fraction form
   223,746/473,412 = 473,412/x
3. Step 3: Cross multiply
   223,746x = 473,412 × 473,412
4. Step 4: Simplify right side
   223,746x = 224,118,921,744
5. Step 5: Solve for x
   x = 224,118,921,744/223,746
6. Step 6: Final answer
   x = 1,001,666.72