Finding the Third Proportional to 224,196 and 469,164

Step by Step Solution

1. Step 1: Write the proportion equation
   224,196 : 469,164 = 469,164 : x
2. Step 2: Convert to fraction form
   224,196/469,164 = 469,164/x
3. Step 3: Cross multiply
   224,196x = 469,164 × 469,164
4. Step 4: Simplify right side
   224,196x = 220,114,858,896
5. Step 5: Solve for x
   x = 220,114,858,896/224,196
6. Step 6: Final answer
   x = 981,796.55