Finding the Third Proportional to 105,264 and 152,367.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,264 : 152,367.75 = 152,367.75 : x
2. Step 2: Convert to fraction form
   105,264/152,367.75 = 152,367.75/x
3. Step 3: Cross multiply
   105,264x = 152,367.75 × 152,367.75
4. Step 4: Simplify right side
   105,264x = 23,215,931,240.06
5. Step 5: Solve for x
   x = 23,215,931,240.06/105,264
6. Step 6: Final answer
   x = 220,549.58