Finding the Third Proportional to 216,816 and 345,300

Step by Step Solution

1. Step 1: Write the proportion equation
   216,816 : 345,300 = 345,300 : x
2. Step 2: Convert to fraction form
   216,816/345,300 = 345,300/x
3. Step 3: Cross multiply
   216,816x = 345,300 × 345,300
4. Step 4: Simplify right side
   216,816x = 119,232,090,000
5. Step 5: Solve for x
   x = 119,232,090,000/216,816
6. Step 6: Final answer
   x = 549,922.93