Finding the Third Proportional to 45,603 and 82,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,603 : 82,822.50 = 82,822.50 : x
2. Step 2: Convert to fraction form
   45,603/82,822.50 = 82,822.50/x
3. Step 3: Cross multiply
   45,603x = 82,822.50 × 82,822.50
4. Step 4: Simplify right side
   45,603x = 6,859,566,506.25
5. Step 5: Solve for x
   x = 6,859,566,506.25/45,603
6. Step 6: Final answer
   x = 150,419.19