Finding the Third Proportional to 114,973 and 171,751.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,973 : 171,751.50 = 171,751.50 : x
2. Step 2: Convert to fraction form
   114,973/171,751.50 = 171,751.50/x
3. Step 3: Cross multiply
   114,973x = 171,751.50 × 171,751.50
4. Step 4: Simplify right side
   114,973x = 29,498,577,752.25
5. Step 5: Solve for x
   x = 29,498,577,752.25/114,973
6. Step 6: Final answer
   x = 256,569.61