Finding the Third Proportional to 49,192 and 75,711

Step by Step Solution

1. Step 1: Write the proportion equation
   49,192 : 75,711 = 75,711 : x
2. Step 2: Convert to fraction form
   49,192/75,711 = 75,711/x
3. Step 3: Cross multiply
   49,192x = 75,711 × 75,711
4. Step 4: Simplify right side
   49,192x = 5,732,155,521
5. Step 5: Solve for x
   x = 5,732,155,521/49,192
6. Step 6: Final answer
   x = 116,526.17