Finding the Third Proportional to 98,010 and 146,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,010 : 146,623.50 = 146,623.50 : x
2. Step 2: Convert to fraction form
   98,010/146,623.50 = 146,623.50/x
3. Step 3: Cross multiply
   98,010x = 146,623.50 × 146,623.50
4. Step 4: Simplify right side
   98,010x = 21,498,450,752.25
5. Step 5: Solve for x
   x = 21,498,450,752.25/98,010
6. Step 6: Final answer
   x = 219,349.56