Finding the Third Proportional to 76,623 and 123,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,623 : 123,034.50 = 123,034.50 : x
2. Step 2: Convert to fraction form
   76,623/123,034.50 = 123,034.50/x
3. Step 3: Cross multiply
   76,623x = 123,034.50 × 123,034.50
4. Step 4: Simplify right side
   76,623x = 15,137,488,190.25
5. Step 5: Solve for x
   x = 15,137,488,190.25/76,623
6. Step 6: Final answer
   x = 197,558.02