Finding the Third Proportional to 58,642 and 90,830

Step by Step Solution

1. Step 1: Write the proportion equation
   58,642 : 90,830 = 90,830 : x
2. Step 2: Convert to fraction form
   58,642/90,830 = 90,830/x
3. Step 3: Cross multiply
   58,642x = 90,830 × 90,830
4. Step 4: Simplify right side
   58,642x = 8,250,088,900
5. Step 5: Solve for x
   x = 8,250,088,900/58,642
6. Step 6: Final answer
   x = 140,685.67