Finding the Third Proportional to 58,036 and 78,301

Step by Step Solution

1. Step 1: Write the proportion equation
   58,036 : 78,301 = 78,301 : x
2. Step 2: Convert to fraction form
   58,036/78,301 = 78,301/x
3. Step 3: Cross multiply
   58,036x = 78,301 × 78,301
4. Step 4: Simplify right side
   58,036x = 6,131,046,601
5. Step 5: Solve for x
   x = 6,131,046,601/58,036
6. Step 6: Final answer
   x = 105,642.13