Finding the Third Proportional to 101,907.50 and 146,786

Step by Step Solution

1. Step 1: Write the proportion equation
   101,907.50 : 146,786 = 146,786 : x
2. Step 2: Convert to fraction form
   101,907.50/146,786 = 146,786/x
3. Step 3: Cross multiply
   101,907.50x = 146,786 × 146,786
4. Step 4: Simplify right side
   101,907.50x = 21,546,129,796
5. Step 5: Solve for x
   x = 21,546,129,796/101,907.50
6. Step 6: Final answer
   x = 211,428.30