Finding the Third Proportional to 98,034 and 146,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,034 : 146,659.50 = 146,659.50 : x
2. Step 2: Convert to fraction form
   98,034/146,659.50 = 146,659.50/x
3. Step 3: Cross multiply
   98,034x = 146,659.50 × 146,659.50
4. Step 4: Simplify right side
   98,034x = 21,509,008,940.25
5. Step 5: Solve for x
   x = 21,509,008,940.25/98,034
6. Step 6: Final answer
   x = 219,403.56