Finding the Third Proportional to 81,513 and 171,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,513 : 171,868.50 = 171,868.50 : x
2. Step 2: Convert to fraction form
   81,513/171,868.50 = 171,868.50/x
3. Step 3: Cross multiply
   81,513x = 171,868.50 × 171,868.50
4. Step 4: Simplify right side
   81,513x = 29,538,781,292.25
5. Step 5: Solve for x
   x = 29,538,781,292.25/81,513
6. Step 6: Final answer
   x = 362,381.23