Finding the Third Proportional to 96,834 and 212,332.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,834 : 212,332.50 = 212,332.50 : x
2. Step 2: Convert to fraction form
   96,834/212,332.50 = 212,332.50/x
3. Step 3: Cross multiply
   96,834x = 212,332.50 × 212,332.50
4. Step 4: Simplify right side
   96,834x = 45,085,090,556.25
5. Step 5: Solve for x
   x = 45,085,090,556.25/96,834
6. Step 6: Final answer
   x = 465,591.53