Finding the Third Proportional to 98,211 and 146,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,211 : 146,596.50 = 146,596.50 : x
2. Step 2: Convert to fraction form
   98,211/146,596.50 = 146,596.50/x
3. Step 3: Cross multiply
   98,211x = 146,596.50 × 146,596.50
4. Step 4: Simplify right side
   98,211x = 21,490,533,812.25
5. Step 5: Solve for x
   x = 21,490,533,812.25/98,211
6. Step 6: Final answer
   x = 218,820.03