Finding the Third Proportional to 96,930 and 141,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,930 : 141,574.50 = 141,574.50 : x
2. Step 2: Convert to fraction form
   96,930/141,574.50 = 141,574.50/x
3. Step 3: Cross multiply
   96,930x = 141,574.50 × 141,574.50
4. Step 4: Simplify right side
   96,930x = 20,043,339,050.25
5. Step 5: Solve for x
   x = 20,043,339,050.25/96,930
6. Step 6: Final answer
   x = 206,781.59