Finding the Third Proportional to 105,588 and 153,630

Step by Step Solution

1. Step 1: Write the proportion equation
   105,588 : 153,630 = 153,630 : x
2. Step 2: Convert to fraction form
   105,588/153,630 = 153,630/x
3. Step 3: Cross multiply
   105,588x = 153,630 × 153,630
4. Step 4: Simplify right side
   105,588x = 23,602,176,900
5. Step 5: Solve for x
   x = 23,602,176,900/105,588
6. Step 6: Final answer
   x = 223,530.86