Finding the Third Proportional to 98,833 and 147,978

Step by Step Solution

1. Step 1: Write the proportion equation
   98,833 : 147,978 = 147,978 : x
2. Step 2: Convert to fraction form
   98,833/147,978 = 147,978/x
3. Step 3: Cross multiply
   98,833x = 147,978 × 147,978
4. Step 4: Simplify right side
   98,833x = 21,897,488,484
5. Step 5: Solve for x
   x = 21,897,488,484/98,833
6. Step 6: Final answer
   x = 221,560.50