Finding the Third Proportional to 288,088.50 and 382,284

Step by Step Solution

1. Step 1: Write the proportion equation
   288,088.50 : 382,284 = 382,284 : x
2. Step 2: Convert to fraction form
   288,088.50/382,284 = 382,284/x
3. Step 3: Cross multiply
   288,088.50x = 382,284 × 382,284
4. Step 4: Simplify right side
   288,088.50x = 146,141,056,656
5. Step 5: Solve for x
   x = 146,141,056,656/288,088.50
6. Step 6: Final answer
   x = 507,278.34