Finding the Third Proportional to 100,716 and 219,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,716 : 219,415.50 = 219,415.50 : x
2. Step 2: Convert to fraction form
   100,716/219,415.50 = 219,415.50/x
3. Step 3: Cross multiply
   100,716x = 219,415.50 × 219,415.50
4. Step 4: Simplify right side
   100,716x = 48,143,161,640.25
5. Step 5: Solve for x
   x = 48,143,161,640.25/100,716
6. Step 6: Final answer
   x = 478,009.07