Finding the Third Proportional to 48,962 and 100,822

Step by Step Solution

1. Step 1: Write the proportion equation
   48,962 : 100,822 = 100,822 : x
2. Step 2: Convert to fraction form
   48,962/100,822 = 100,822/x
3. Step 3: Cross multiply
   48,962x = 100,822 × 100,822
4. Step 4: Simplify right side
   48,962x = 10,165,075,684
5. Step 5: Solve for x
   x = 10,165,075,684/48,962
6. Step 6: Final answer
   x = 207,611.53