Finding the Third Proportional to 58,022 and 78,284

Step by Step Solution

1. Step 1: Write the proportion equation
   58,022 : 78,284 = 78,284 : x
2. Step 2: Convert to fraction form
   58,022/78,284 = 78,284/x
3. Step 3: Cross multiply
   58,022x = 78,284 × 78,284
4. Step 4: Simplify right side
   58,022x = 6,128,384,656
5. Step 5: Solve for x
   x = 6,128,384,656/58,022
6. Step 6: Final answer
   x = 105,621.74