Finding the Third Proportional to 258,480 and 386,167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,480 : 386,167.50 = 386,167.50 : x
2. Step 2: Convert to fraction form
   258,480/386,167.50 = 386,167.50/x
3. Step 3: Cross multiply
   258,480x = 386,167.50 × 386,167.50
4. Step 4: Simplify right side
   258,480x = 149,125,338,056.25
5. Step 5: Solve for x
   x = 149,125,338,056.25/258,480
6. Step 6: Final answer
   x = 576,931.82