Finding the Third Proportional to 187,538 and 442,432

Step by Step Solution

1. Step 1: Write the proportion equation
   187,538 : 442,432 = 442,432 : x
2. Step 2: Convert to fraction form
   187,538/442,432 = 442,432/x
3. Step 3: Cross multiply
   187,538x = 442,432 × 442,432
4. Step 4: Simplify right side
   187,538x = 195,746,074,624
5. Step 5: Solve for x
   x = 195,746,074,624/187,538
6. Step 6: Final answer
   x = 1,043,767.53