Finding the Third Proportional to 98,584.50 and 147,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,584.50 : 147,709.50 = 147,709.50 : x
2. Step 2: Convert to fraction form
   98,584.50/147,709.50 = 147,709.50/x
3. Step 3: Cross multiply
   98,584.50x = 147,709.50 × 147,709.50
4. Step 4: Simplify right side
   98,584.50x = 21,818,096,390.25
5. Step 5: Solve for x
   x = 21,818,096,390.25/98,584.50
6. Step 6: Final answer
   x = 221,313.66