Finding the Third Proportional to 214,101 and 288,391.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,101 : 288,391.50 = 288,391.50 : x
2. Step 2: Convert to fraction form
   214,101/288,391.50 = 288,391.50/x
3. Step 3: Cross multiply
   214,101x = 288,391.50 × 288,391.50
4. Step 4: Simplify right side
   214,101x = 83,169,657,272.25
5. Step 5: Solve for x
   x = 83,169,657,272.25/214,101
6. Step 6: Final answer
   x = 388,459.92