Finding the Third Proportional to 180,090 and 388,111

Step by Step Solution

1. Step 1: Write the proportion equation
   180,090 : 388,111 = 388,111 : x
2. Step 2: Convert to fraction form
   180,090/388,111 = 388,111/x
3. Step 3: Cross multiply
   180,090x = 388,111 × 388,111
4. Step 4: Simplify right side
   180,090x = 150,630,148,321
5. Step 5: Solve for x
   x = 150,630,148,321/180,090
6. Step 6: Final answer
   x = 836,415.95