Finding the Third Proportional to 83,575 and 129,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,575 : 129,466.50 = 129,466.50 : x
2. Step 2: Convert to fraction form
   83,575/129,466.50 = 129,466.50/x
3. Step 3: Cross multiply
   83,575x = 129,466.50 × 129,466.50
4. Step 4: Simplify right side
   83,575x = 16,761,574,622.25
5. Step 5: Solve for x
   x = 16,761,574,622.25/83,575
6. Step 6: Final answer
   x = 200,557.28