Finding the Third Proportional to 99,504 and 146,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,504 : 146,299.50 = 146,299.50 : x
2. Step 2: Convert to fraction form
   99,504/146,299.50 = 146,299.50/x
3. Step 3: Cross multiply
   99,504x = 146,299.50 × 146,299.50
4. Step 4: Simplify right side
   99,504x = 21,403,543,700.25
5. Step 5: Solve for x
   x = 21,403,543,700.25/99,504
6. Step 6: Final answer
   x = 215,102.34