Finding the Third Proportional to 58,034 and 78,298

Step by Step Solution

1. Step 1: Write the proportion equation
   58,034 : 78,298 = 78,298 : x
2. Step 2: Convert to fraction form
   58,034/78,298 = 78,298/x
3. Step 3: Cross multiply
   58,034x = 78,298 × 78,298
4. Step 4: Simplify right side
   58,034x = 6,130,576,804
5. Step 5: Solve for x
   x = 6,130,576,804/58,034
6. Step 6: Final answer
   x = 105,637.67