Finding the Third Proportional to 213,012 and 334,146

Step by Step Solution

1. Step 1: Write the proportion equation
   213,012 : 334,146 = 334,146 : x
2. Step 2: Convert to fraction form
   213,012/334,146 = 334,146/x
3. Step 3: Cross multiply
   213,012x = 334,146 × 334,146
4. Step 4: Simplify right side
   213,012x = 111,653,549,316
5. Step 5: Solve for x
   x = 111,653,549,316/213,012
6. Step 6: Final answer
   x = 524,165.54