Finding the Third Proportional to 58,584 and 90,789

Step by Step Solution

1. Step 1: Write the proportion equation
   58,584 : 90,789 = 90,789 : x
2. Step 2: Convert to fraction form
   58,584/90,789 = 90,789/x
3. Step 3: Cross multiply
   58,584x = 90,789 × 90,789
4. Step 4: Simplify right side
   58,584x = 8,242,642,521
5. Step 5: Solve for x
   x = 8,242,642,521/58,584
6. Step 6: Final answer
   x = 140,697.84