Finding the Third Proportional to 163,875 and 250,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   163,875 : 250,186.50 = 250,186.50 : x
2. Step 2: Convert to fraction form
   163,875/250,186.50 = 250,186.50/x
3. Step 3: Cross multiply
   163,875x = 250,186.50 × 250,186.50
4. Step 4: Simplify right side
   163,875x = 62,593,284,782.25
5. Step 5: Solve for x
   x = 62,593,284,782.25/163,875
6. Step 6: Final answer
   x = 381,957.50