Finding the Third Proportional to 83,523 and 120,676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,523 : 120,676.50 = 120,676.50 : x
2. Step 2: Convert to fraction form
   83,523/120,676.50 = 120,676.50/x
3. Step 3: Cross multiply
   83,523x = 120,676.50 × 120,676.50
4. Step 4: Simplify right side
   83,523x = 14,562,817,652.25
5. Step 5: Solve for x
   x = 14,562,817,652.25/83,523
6. Step 6: Final answer
   x = 174,356.98