Finding the Third Proportional to 233,314 and 361,960

Step by Step Solution

1. Step 1: Write the proportion equation
   233,314 : 361,960 = 361,960 : x
2. Step 2: Convert to fraction form
   233,314/361,960 = 361,960/x
3. Step 3: Cross multiply
   233,314x = 361,960 × 361,960
4. Step 4: Simplify right side
   233,314x = 131,015,041,600
5. Step 5: Solve for x
   x = 131,015,041,600/233,314
6. Step 6: Final answer
   x = 561,539.56