Finding the Third Proportional to 98,511 and 152,385

Step by Step Solution

1. Step 1: Write the proportion equation
   98,511 : 152,385 = 152,385 : x
2. Step 2: Convert to fraction form
   98,511/152,385 = 152,385/x
3. Step 3: Cross multiply
   98,511x = 152,385 × 152,385
4. Step 4: Simplify right side
   98,511x = 23,221,188,225
5. Step 5: Solve for x
   x = 23,221,188,225/98,511
6. Step 6: Final answer
   x = 235,721.78