Finding the Third Proportional to 308,155.50 and 462,960

Step by Step Solution

1. Step 1: Write the proportion equation
   308,155.50 : 462,960 = 462,960 : x
2. Step 2: Convert to fraction form
   308,155.50/462,960 = 462,960/x
3. Step 3: Cross multiply
   308,155.50x = 462,960 × 462,960
4. Step 4: Simplify right side
   308,155.50x = 214,331,961,600
5. Step 5: Solve for x
   x = 214,331,961,600/308,155.50
6. Step 6: Final answer
   x = 695,531.84