Finding the Third Proportional to 216,364 and 472,094

Step by Step Solution

1. Step 1: Write the proportion equation
   216,364 : 472,094 = 472,094 : x
2. Step 2: Convert to fraction form
   216,364/472,094 = 472,094/x
3. Step 3: Cross multiply
   216,364x = 472,094 × 472,094
4. Step 4: Simplify right side
   216,364x = 222,872,744,836
5. Step 5: Solve for x
   x = 222,872,744,836/216,364
6. Step 6: Final answer
   x = 1,030,082.38