Finding the Third Proportional to 91,596 and 197,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,596 : 197,002.50 = 197,002.50 : x
2. Step 2: Convert to fraction form
   91,596/197,002.50 = 197,002.50/x
3. Step 3: Cross multiply
   91,596x = 197,002.50 × 197,002.50
4. Step 4: Simplify right side
   91,596x = 38,809,985,006.25
5. Step 5: Solve for x
   x = 38,809,985,006.25/91,596
6. Step 6: Final answer
   x = 423,708.30