Finding the Third Proportional to 76,620 and 123,030

Step by Step Solution

1. Step 1: Write the proportion equation
   76,620 : 123,030 = 123,030 : x
2. Step 2: Convert to fraction form
   76,620/123,030 = 123,030/x
3. Step 3: Cross multiply
   76,620x = 123,030 × 123,030
4. Step 4: Simplify right side
   76,620x = 15,136,380,900
5. Step 5: Solve for x
   x = 15,136,380,900/76,620
6. Step 6: Final answer
   x = 197,551.30