Finding the Third Proportional to 381,466.13 and 577,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,466.13 : 577,111.50 = 577,111.50 : x
2. Step 2: Convert to fraction form
   381,466.13/577,111.50 = 577,111.50/x
3. Step 3: Cross multiply
   381,466.13x = 577,111.50 × 577,111.50
4. Step 4: Simplify right side
   381,466.13x = 333,057,683,432.25
5. Step 5: Solve for x
   x = 333,057,683,432.25/381,466.13
6. Step 6: Final answer
   x = 873,098.98