Finding the Third Proportional to 83,525 and 120,679.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,525 : 120,679.50 = 120,679.50 : x
2. Step 2: Convert to fraction form
   83,525/120,679.50 = 120,679.50/x
3. Step 3: Cross multiply
   83,525x = 120,679.50 × 120,679.50
4. Step 4: Simplify right side
   83,525x = 14,563,541,720.25
5. Step 5: Solve for x
   x = 14,563,541,720.25/83,525
6. Step 6: Final answer
   x = 174,361.47