Finding the Third Proportional to 96,786 and 212,161.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,786 : 212,161.50 = 212,161.50 : x
2. Step 2: Convert to fraction form
   96,786/212,161.50 = 212,161.50/x
3. Step 3: Cross multiply
   96,786x = 212,161.50 × 212,161.50
4. Step 4: Simplify right side
   96,786x = 45,012,502,082.25
5. Step 5: Solve for x
   x = 45,012,502,082.25/96,786
6. Step 6: Final answer
   x = 465,072.45