Finding the Third Proportional to 101,364 and 215,850

Step by Step Solution

1. Step 1: Write the proportion equation
   101,364 : 215,850 = 215,850 : x
2. Step 2: Convert to fraction form
   101,364/215,850 = 215,850/x
3. Step 3: Cross multiply
   101,364x = 215,850 × 215,850
4. Step 4: Simplify right side
   101,364x = 46,591,222,500
5. Step 5: Solve for x
   x = 46,591,222,500/101,364
6. Step 6: Final answer
   x = 459,642.70