Finding the Third Proportional to 476,106 and 645,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   476,106 : 645,880.50 = 645,880.50 : x
2. Step 2: Convert to fraction form
   476,106/645,880.50 = 645,880.50/x
3. Step 3: Cross multiply
   476,106x = 645,880.50 × 645,880.50
4. Step 4: Simplify right side
   476,106x = 417,161,620,280.25
5. Step 5: Solve for x
   x = 417,161,620,280.25/476,106
6. Step 6: Final answer
   x = 876,194.84