Finding the Third Proportional to 99,738 and 213,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,738 : 213,367.50 = 213,367.50 : x
2. Step 2: Convert to fraction form
   99,738/213,367.50 = 213,367.50/x
3. Step 3: Cross multiply
   99,738x = 213,367.50 × 213,367.50
4. Step 4: Simplify right side
   99,738x = 45,525,690,056.25
5. Step 5: Solve for x
   x = 45,525,690,056.25/99,738
6. Step 6: Final answer
   x = 456,452.81