Finding the Third Proportional to 349,742 and 540,111

Step by Step Solution

1. Step 1: Write the proportion equation
   349,742 : 540,111 = 540,111 : x
2. Step 2: Convert to fraction form
   349,742/540,111 = 540,111/x
3. Step 3: Cross multiply
   349,742x = 540,111 × 540,111
4. Step 4: Simplify right side
   349,742x = 291,719,892,321
5. Step 5: Solve for x
   x = 291,719,892,321/349,742
6. Step 6: Final answer
   x = 834,100.26