Finding the Third Proportional to 100,365 and 146,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,365 : 146,779.50 = 146,779.50 : x
2. Step 2: Convert to fraction form
   100,365/146,779.50 = 146,779.50/x
3. Step 3: Cross multiply
   100,365x = 146,779.50 × 146,779.50
4. Step 4: Simplify right side
   100,365x = 21,544,221,620.25
5. Step 5: Solve for x
   x = 21,544,221,620.25/100,365
6. Step 6: Final answer
   x = 214,658.71