Finding the Third Proportional to 98,580 and 152,502

Step by Step Solution

1. Step 1: Write the proportion equation
   98,580 : 152,502 = 152,502 : x
2. Step 2: Convert to fraction form
   98,580/152,502 = 152,502/x
3. Step 3: Cross multiply
   98,580x = 152,502 × 152,502
4. Step 4: Simplify right side
   98,580x = 23,256,860,004
5. Step 5: Solve for x
   x = 23,256,860,004/98,580
6. Step 6: Final answer
   x = 235,918.64