Finding the Third Proportional to 106,599 and 146,452.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,599 : 146,452.50 = 146,452.50 : x
2. Step 2: Convert to fraction form
   106,599/146,452.50 = 146,452.50/x
3. Step 3: Cross multiply
   106,599x = 146,452.50 × 146,452.50
4. Step 4: Simplify right side
   106,599x = 21,448,334,756.25
5. Step 5: Solve for x
   x = 21,448,334,756.25/106,599
6. Step 6: Final answer
   x = 201,205.78