Finding the Third Proportional to 98,038.50 and 146,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,038.50 : 146,665.50 = 146,665.50 : x
2. Step 2: Convert to fraction form
   98,038.50/146,665.50 = 146,665.50/x
3. Step 3: Cross multiply
   98,038.50x = 146,665.50 × 146,665.50
4. Step 4: Simplify right side
   98,038.50x = 21,510,768,890.25
5. Step 5: Solve for x
   x = 21,510,768,890.25/98,038.50
6. Step 6: Final answer
   x = 219,411.44