Finding the Third Proportional to 123,256.50 and 190,106.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,256.50 : 190,106.25 = 190,106.25 : x
2. Step 2: Convert to fraction form
   123,256.50/190,106.25 = 190,106.25/x
3. Step 3: Cross multiply
   123,256.50x = 190,106.25 × 190,106.25
4. Step 4: Simplify right side
   123,256.50x = 36,140,386,289.06
5. Step 5: Solve for x
   x = 36,140,386,289.06/123,256.50
6. Step 6: Final answer
   x = 293,212.82