Finding the Third Proportional to 109,839 and 165,973.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,839 : 165,973.50 = 165,973.50 : x
2. Step 2: Convert to fraction form
   109,839/165,973.50 = 165,973.50/x
3. Step 3: Cross multiply
   109,839x = 165,973.50 × 165,973.50
4. Step 4: Simplify right side
   109,839x = 27,547,202,702.25
5. Step 5: Solve for x
   x = 27,547,202,702.25/109,839
6. Step 6: Final answer
   x = 250,796.19