Finding the Third Proportional to 98,527.50 and 204,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,527.50 : 204,061.50 = 204,061.50 : x
2. Step 2: Convert to fraction form
   98,527.50/204,061.50 = 204,061.50/x
3. Step 3: Cross multiply
   98,527.50x = 204,061.50 × 204,061.50
4. Step 4: Simplify right side
   98,527.50x = 41,641,095,782.25
5. Step 5: Solve for x
   x = 41,641,095,782.25/98,527.50
6. Step 6: Final answer
   x = 422,634.25