Finding the Third Proportional to 102,005 and 168,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,005 : 168,569.50 = 168,569.50 : x
2. Step 2: Convert to fraction form
   102,005/168,569.50 = 168,569.50/x
3. Step 3: Cross multiply
   102,005x = 168,569.50 × 168,569.50
4. Step 4: Simplify right side
   102,005x = 28,415,676,330.25
5. Step 5: Solve for x
   x = 28,415,676,330.25/102,005
6. Step 6: Final answer
   x = 278,571.41