Finding the Third Proportional to 100,933.50 and 212,322

Step by Step Solution

1. Step 1: Write the proportion equation
   100,933.50 : 212,322 = 212,322 : x
2. Step 2: Convert to fraction form
   100,933.50/212,322 = 212,322/x
3. Step 3: Cross multiply
   100,933.50x = 212,322 × 212,322
4. Step 4: Simplify right side
   100,933.50x = 45,080,631,684
5. Step 5: Solve for x
   x = 45,080,631,684/100,933.50
6. Step 6: Final answer
   x = 446,636.96