Finding the Third Proportional to 45,583 and 95,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,583 : 95,772.50 = 95,772.50 : x
2. Step 2: Convert to fraction form
   45,583/95,772.50 = 95,772.50/x
3. Step 3: Cross multiply
   45,583x = 95,772.50 × 95,772.50
4. Step 4: Simplify right side
   45,583x = 9,172,371,756.25
5. Step 5: Solve for x
   x = 9,172,371,756.25/45,583
6. Step 6: Final answer
   x = 201,223.52