Finding the Third Proportional to 122,158.50 and 265,206

Step by Step Solution

1. Step 1: Write the proportion equation
   122,158.50 : 265,206 = 265,206 : x
2. Step 2: Convert to fraction form
   122,158.50/265,206 = 265,206/x
3. Step 3: Cross multiply
   122,158.50x = 265,206 × 265,206
4. Step 4: Simplify right side
   122,158.50x = 70,334,222,436
5. Step 5: Solve for x
   x = 70,334,222,436/122,158.50
6. Step 6: Final answer
   x = 575,762.00