Finding the Third Proportional to 381,462 and 577,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,462 : 577,102.50 = 577,102.50 : x
2. Step 2: Convert to fraction form
   381,462/577,102.50 = 577,102.50/x
3. Step 3: Cross multiply
   381,462x = 577,102.50 × 577,102.50
4. Step 4: Simplify right side
   381,462x = 333,047,295,506.25
5. Step 5: Solve for x
   x = 333,047,295,506.25/381,462
6. Step 6: Final answer
   x = 873,081.19