Finding the Third Proportional to 98,468 and 147,665

Step by Step Solution

1. Step 1: Write the proportion equation
   98,468 : 147,665 = 147,665 : x
2. Step 2: Convert to fraction form
   98,468/147,665 = 147,665/x
3. Step 3: Cross multiply
   98,468x = 147,665 × 147,665
4. Step 4: Simplify right side
   98,468x = 21,804,952,225
5. Step 5: Solve for x
   x = 21,804,952,225/98,468
6. Step 6: Final answer
   x = 221,442.01