Finding the Third Proportional to 334,910 and 468,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   334,910 : 468,458.50 = 468,458.50 : x
2. Step 2: Convert to fraction form
   334,910/468,458.50 = 468,458.50/x
3. Step 3: Cross multiply
   334,910x = 468,458.50 × 468,458.50
4. Step 4: Simplify right side
   334,910x = 219,453,366,222.25
5. Step 5: Solve for x
   x = 219,453,366,222.25/334,910
6. Step 6: Final answer
   x = 655,260.72