Finding the Third Proportional to 77,346 and 123,074

Step by Step Solution

1. Step 1: Write the proportion equation
   77,346 : 123,074 = 123,074 : x
2. Step 2: Convert to fraction form
   77,346/123,074 = 123,074/x
3. Step 3: Cross multiply
   77,346x = 123,074 × 123,074
4. Step 4: Simplify right side
   77,346x = 15,147,209,476
5. Step 5: Solve for x
   x = 15,147,209,476/77,346
6. Step 6: Final answer
   x = 195,837.01