Finding the Third Proportional to 122,364 and 179,151.75

Step by Step Solution

1. Step 1: Write the proportion equation
   122,364 : 179,151.75 = 179,151.75 : x
2. Step 2: Convert to fraction form
   122,364/179,151.75 = 179,151.75/x
3. Step 3: Cross multiply
   122,364x = 179,151.75 × 179,151.75
4. Step 4: Simplify right side
   122,364x = 32,095,349,528.06
5. Step 5: Solve for x
   x = 32,095,349,528.06/122,364
6. Step 6: Final answer
   x = 262,294.05