Finding the Third Proportional to 51,196 and 77,340

Step by Step Solution

1. Step 1: Write the proportion equation
   51,196 : 77,340 = 77,340 : x
2. Step 2: Convert to fraction form
   51,196/77,340 = 77,340/x
3. Step 3: Cross multiply
   51,196x = 77,340 × 77,340
4. Step 4: Simplify right side
   51,196x = 5,981,475,600
5. Step 5: Solve for x
   x = 5,981,475,600/51,196
6. Step 6: Final answer
   x = 116,834.82