Finding the Third Proportional to 101,348 and 152,630

Step by Step Solution

1. Step 1: Write the proportion equation
   101,348 : 152,630 = 152,630 : x
2. Step 2: Convert to fraction form
   101,348/152,630 = 152,630/x
3. Step 3: Cross multiply
   101,348x = 152,630 × 152,630
4. Step 4: Simplify right side
   101,348x = 23,295,916,900
5. Step 5: Solve for x
   x = 23,295,916,900/101,348
6. Step 6: Final answer
   x = 229,860.65