Finding the Third Proportional to 77,576 and 123,032

Step by Step Solution

1. Step 1: Write the proportion equation
   77,576 : 123,032 = 123,032 : x
2. Step 2: Convert to fraction form
   77,576/123,032 = 123,032/x
3. Step 3: Cross multiply
   77,576x = 123,032 × 123,032
4. Step 4: Simplify right side
   77,576x = 15,136,873,024
5. Step 5: Solve for x
   x = 15,136,873,024/77,576
6. Step 6: Final answer
   x = 195,123.14