Finding the Third Proportional to 77,574 and 123,033

Step by Step Solution

1. Step 1: Write the proportion equation
   77,574 : 123,033 = 123,033 : x
2. Step 2: Convert to fraction form
   77,574/123,033 = 123,033/x
3. Step 3: Cross multiply
   77,574x = 123,033 × 123,033
4. Step 4: Simplify right side
   77,574x = 15,137,119,089
5. Step 5: Solve for x
   x = 15,137,119,089/77,574
6. Step 6: Final answer
   x = 195,131.35