Finding the Third Proportional to 98,188 and 152,384

Step by Step Solution

1. Step 1: Write the proportion equation
   98,188 : 152,384 = 152,384 : x
2. Step 2: Convert to fraction form
   98,188/152,384 = 152,384/x
3. Step 3: Cross multiply
   98,188x = 152,384 × 152,384
4. Step 4: Simplify right side
   98,188x = 23,220,883,456
5. Step 5: Solve for x
   x = 23,220,883,456/98,188
6. Step 6: Final answer
   x = 236,494.11