Finding the Third Proportional to 83,532 and 120,690

Step by Step Solution

1. Step 1: Write the proportion equation
   83,532 : 120,690 = 120,690 : x
2. Step 2: Convert to fraction form
   83,532/120,690 = 120,690/x
3. Step 3: Cross multiply
   83,532x = 120,690 × 120,690
4. Step 4: Simplify right side
   83,532x = 14,566,076,100
5. Step 5: Solve for x
   x = 14,566,076,100/83,532
6. Step 6: Final answer
   x = 174,377.20