Finding the Third Proportional to 105,323 and 171,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,323 : 171,113.50 = 171,113.50 : x
2. Step 2: Convert to fraction form
   105,323/171,113.50 = 171,113.50/x
3. Step 3: Cross multiply
   105,323x = 171,113.50 × 171,113.50
4. Step 4: Simplify right side
   105,323x = 29,279,829,882.25
5. Step 5: Solve for x
   x = 29,279,829,882.25/105,323
6. Step 6: Final answer
   x = 278,000.34