Finding the Third Proportional to 199,632 and 292,002

Step by Step Solution

1. Step 1: Write the proportion equation
   199,632 : 292,002 = 292,002 : x
2. Step 2: Convert to fraction form
   199,632/292,002 = 292,002/x
3. Step 3: Cross multiply
   199,632x = 292,002 × 292,002
4. Step 4: Simplify right side
   199,632x = 85,265,168,004
5. Step 5: Solve for x
   x = 85,265,168,004/199,632
6. Step 6: Final answer
   x = 427,111.73