Finding the Third Proportional to 77,348 and 123,076

Step by Step Solution

1. Step 1: Write the proportion equation
   77,348 : 123,076 = 123,076 : x
2. Step 2: Convert to fraction form
   77,348/123,076 = 123,076/x
3. Step 3: Cross multiply
   77,348x = 123,076 × 123,076
4. Step 4: Simplify right side
   77,348x = 15,147,701,776
5. Step 5: Solve for x
   x = 15,147,701,776/77,348
6. Step 6: Final answer
   x = 195,838.31