Finding the Third Proportional to 100,314 and 215,748

Step by Step Solution

1. Step 1: Write the proportion equation
   100,314 : 215,748 = 215,748 : x
2. Step 2: Convert to fraction form
   100,314/215,748 = 215,748/x
3. Step 3: Cross multiply
   100,314x = 215,748 × 215,748
4. Step 4: Simplify right side
   100,314x = 46,547,199,504
5. Step 5: Solve for x
   x = 46,547,199,504/100,314
6. Step 6: Final answer
   x = 464,014.99