Finding the Third Proportional to 49,219 and 76,359

Step by Step Solution

1. Step 1: Write the proportion equation
   49,219 : 76,359 = 76,359 : x
2. Step 2: Convert to fraction form
   49,219/76,359 = 76,359/x
3. Step 3: Cross multiply
   49,219x = 76,359 × 76,359
4. Step 4: Simplify right side
   49,219x = 5,830,696,881
5. Step 5: Solve for x
   x = 5,830,696,881/49,219
6. Step 6: Final answer
   x = 118,464.35