Finding the Third Proportional to 78,563 and 169,676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,563 : 169,676.50 = 169,676.50 : x
2. Step 2: Convert to fraction form
   78,563/169,676.50 = 169,676.50/x
3. Step 3: Cross multiply
   78,563x = 169,676.50 × 169,676.50
4. Step 4: Simplify right side
   78,563x = 28,790,114,652.25
5. Step 5: Solve for x
   x = 28,790,114,652.25/78,563
6. Step 6: Final answer
   x = 366,458.95