Finding the Third Proportional to 215,106 and 334,164

Step by Step Solution

1. Step 1: Write the proportion equation
   215,106 : 334,164 = 334,164 : x
2. Step 2: Convert to fraction form
   215,106/334,164 = 334,164/x
3. Step 3: Cross multiply
   215,106x = 334,164 × 334,164
4. Step 4: Simplify right side
   215,106x = 111,665,578,896
5. Step 5: Solve for x
   x = 111,665,578,896/215,106
6. Step 6: Final answer
   x = 519,118.85