Finding the Third Proportional to 101,590 and 152,384

Step by Step Solution

1. Step 1: Write the proportion equation
   101,590 : 152,384 = 152,384 : x
2. Step 2: Convert to fraction form
   101,590/152,384 = 152,384/x
3. Step 3: Cross multiply
   101,590x = 152,384 × 152,384
4. Step 4: Simplify right side
   101,590x = 23,220,883,456
5. Step 5: Solve for x
   x = 23,220,883,456/101,590
6. Step 6: Final answer
   x = 228,574.50