Finding the Third Proportional to 234,026 and 334,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   234,026 : 334,414.50 = 334,414.50 : x
2. Step 2: Convert to fraction form
   234,026/334,414.50 = 334,414.50/x
3. Step 3: Cross multiply
   234,026x = 334,414.50 × 334,414.50
4. Step 4: Simplify right side
   234,026x = 111,833,057,810.25
5. Step 5: Solve for x
   x = 111,833,057,810.25/234,026
6. Step 6: Final answer
   x = 477,865.95