Finding the Third Proportional to 99,772.50 and 146,742

Step by Step Solution

1. Step 1: Write the proportion equation
   99,772.50 : 146,742 = 146,742 : x
2. Step 2: Convert to fraction form
   99,772.50/146,742 = 146,742/x
3. Step 3: Cross multiply
   99,772.50x = 146,742 × 146,742
4. Step 4: Simplify right side
   99,772.50x = 21,533,214,564
5. Step 5: Solve for x
   x = 21,533,214,564/99,772.50
6. Step 6: Final answer
   x = 215,823.14