Finding the Third Proportional to 98,788 and 216,314

Step by Step Solution

1. Step 1: Write the proportion equation
   98,788 : 216,314 = 216,314 : x
2. Step 2: Convert to fraction form
   98,788/216,314 = 216,314/x
3. Step 3: Cross multiply
   98,788x = 216,314 × 216,314
4. Step 4: Simplify right side
   98,788x = 46,791,746,596
5. Step 5: Solve for x
   x = 46,791,746,596/98,788
6. Step 6: Final answer
   x = 473,658.20