Finding the Third Proportional to 187,536 and 442,696

Step by Step Solution

1. Step 1: Write the proportion equation
   187,536 : 442,696 = 442,696 : x
2. Step 2: Convert to fraction form
   187,536/442,696 = 442,696/x
3. Step 3: Cross multiply
   187,536x = 442,696 × 442,696
4. Step 4: Simplify right side
   187,536x = 195,979,748,416
5. Step 5: Solve for x
   x = 195,979,748,416/187,536
6. Step 6: Final answer
   x = 1,045,024.68