Finding the Third Proportional to 96,802 and 212,300

Step by Step Solution

1. Step 1: Write the proportion equation
   96,802 : 212,300 = 212,300 : x
2. Step 2: Convert to fraction form
   96,802/212,300 = 212,300/x
3. Step 3: Cross multiply
   96,802x = 212,300 × 212,300
4. Step 4: Simplify right side
   96,802x = 45,071,290,000
5. Step 5: Solve for x
   x = 45,071,290,000/96,802
6. Step 6: Final answer
   x = 465,602.88