Finding the Third Proportional to 98,821 and 147,961.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,821 : 147,961.50 = 147,961.50 : x
2. Step 2: Convert to fraction form
   98,821/147,961.50 = 147,961.50/x
3. Step 3: Cross multiply
   98,821x = 147,961.50 × 147,961.50
4. Step 4: Simplify right side
   98,821x = 21,892,605,482.25
5. Step 5: Solve for x
   x = 21,892,605,482.25/98,821
6. Step 6: Final answer
   x = 221,537.99