Finding the Third Proportional to 49,390 and 78,458

Step by Step Solution

1. Step 1: Write the proportion equation
   49,390 : 78,458 = 78,458 : x
2. Step 2: Convert to fraction form
   49,390/78,458 = 78,458/x
3. Step 3: Cross multiply
   49,390x = 78,458 × 78,458
4. Step 4: Simplify right side
   49,390x = 6,155,657,764
5. Step 5: Solve for x
   x = 6,155,657,764/49,390
6. Step 6: Final answer
   x = 124,633.69