Finding the Third Proportional to 81,216 and 195,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,216 : 195,658.50 = 195,658.50 : x
2. Step 2: Convert to fraction form
   81,216/195,658.50 = 195,658.50/x
3. Step 3: Cross multiply
   81,216x = 195,658.50 × 195,658.50
4. Step 4: Simplify right side
   81,216x = 38,282,248,622.25
5. Step 5: Solve for x
   x = 38,282,248,622.25/81,216
6. Step 6: Final answer
   x = 471,363.38