Finding the Third Proportional to 100,322 and 236,810

Step by Step Solution

1. Step 1: Write the proportion equation
   100,322 : 236,810 = 236,810 : x
2. Step 2: Convert to fraction form
   100,322/236,810 = 236,810/x
3. Step 3: Cross multiply
   100,322x = 236,810 × 236,810
4. Step 4: Simplify right side
   100,322x = 56,078,976,100
5. Step 5: Solve for x
   x = 56,078,976,100/100,322
6. Step 6: Final answer
   x = 558,989.81