Finding the Third Proportional to 76,153.50 and 111,631.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,153.50 : 111,631.50 = 111,631.50 : x
2. Step 2: Convert to fraction form
   76,153.50/111,631.50 = 111,631.50/x
3. Step 3: Cross multiply
   76,153.50x = 111,631.50 × 111,631.50
4. Step 4: Simplify right side
   76,153.50x = 12,461,591,792.25
5. Step 5: Solve for x
   x = 12,461,591,792.25/76,153.50
6. Step 6: Final answer
   x = 163,637.81