Finding the Third Proportional to 76,146.75 and 111,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,146.75 : 111,622.50 = 111,622.50 : x
2. Step 2: Convert to fraction form
   76,146.75/111,622.50 = 111,622.50/x
3. Step 3: Cross multiply
   76,146.75x = 111,622.50 × 111,622.50
4. Step 4: Simplify right side
   76,146.75x = 12,459,582,506.25
5. Step 5: Solve for x
   x = 12,459,582,506.25/76,146.75
6. Step 6: Final answer
   x = 163,625.93