Finding the Third Proportional to 66,585 and 141,432

Step by Step Solution

1. Step 1: Write the proportion equation
   66,585 : 141,432 = 141,432 : x
2. Step 2: Convert to fraction form
   66,585/141,432 = 141,432/x
3. Step 3: Cross multiply
   66,585x = 141,432 × 141,432
4. Step 4: Simplify right side
   66,585x = 20,003,010,624
5. Step 5: Solve for x
   x = 20,003,010,624/66,585
6. Step 6: Final answer
   x = 300,413.17