Finding the Third Proportional to 77,802 and 123,507

Step by Step Solution

1. Step 1: Write the proportion equation
   77,802 : 123,507 = 123,507 : x
2. Step 2: Convert to fraction form
   77,802/123,507 = 123,507/x
3. Step 3: Cross multiply
   77,802x = 123,507 × 123,507
4. Step 4: Simplify right side
   77,802x = 15,253,979,049
5. Step 5: Solve for x
   x = 15,253,979,049/77,802
6. Step 6: Final answer
   x = 196,061.53