Finding the Third Proportional to 76,147.50 and 111,623

Step by Step Solution

1. Step 1: Write the proportion equation
   76,147.50 : 111,623 = 111,623 : x
2. Step 2: Convert to fraction form
   76,147.50/111,623 = 111,623/x
3. Step 3: Cross multiply
   76,147.50x = 111,623 × 111,623
4. Step 4: Simplify right side
   76,147.50x = 12,459,694,129
5. Step 5: Solve for x
   x = 12,459,694,129/76,147.50
6. Step 6: Final answer
   x = 163,625.78