Finding the Third Proportional to 81,603.50 and 147,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,603.50 : 147,829.50 = 147,829.50 : x
2. Step 2: Convert to fraction form
   81,603.50/147,829.50 = 147,829.50/x
3. Step 3: Cross multiply
   81,603.50x = 147,829.50 × 147,829.50
4. Step 4: Simplify right side
   81,603.50x = 21,853,561,070.25
5. Step 5: Solve for x
   x = 21,853,561,070.25/81,603.50
6. Step 6: Final answer
   x = 267,801.76