Finding the Third Proportional to 77,803 and 123,508

Step by Step Solution

1. Step 1: Write the proportion equation
   77,803 : 123,508 = 123,508 : x
2. Step 2: Convert to fraction form
   77,803/123,508 = 123,508/x
3. Step 3: Cross multiply
   77,803x = 123,508 × 123,508
4. Step 4: Simplify right side
   77,803x = 15,254,226,064
5. Step 5: Solve for x
   x = 15,254,226,064/77,803
6. Step 6: Final answer
   x = 196,062.18