Finding the Third Proportional to 98,753.50 and 209,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,753.50 : 209,272.50 = 209,272.50 : x
2. Step 2: Convert to fraction form
   98,753.50/209,272.50 = 209,272.50/x
3. Step 3: Cross multiply
   98,753.50x = 209,272.50 × 209,272.50
4. Step 4: Simplify right side
   98,753.50x = 43,794,979,256.25
5. Step 5: Solve for x
   x = 43,794,979,256.25/98,753.50
6. Step 6: Final answer
   x = 443,477.74