Finding the Third Proportional to 102,150 and 168,817.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,150 : 168,817.50 = 168,817.50 : x
2. Step 2: Convert to fraction form
   102,150/168,817.50 = 168,817.50/x
3. Step 3: Cross multiply
   102,150x = 168,817.50 × 168,817.50
4. Step 4: Simplify right side
   102,150x = 28,499,348,306.25
5. Step 5: Solve for x
   x = 28,499,348,306.25/102,150
6. Step 6: Final answer
   x = 278,995.09