Finding the Third Proportional to 318,436 and 464,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   318,436 : 464,527.50 = 464,527.50 : x
2. Step 2: Convert to fraction form
   318,436/464,527.50 = 464,527.50/x
3. Step 3: Cross multiply
   318,436x = 464,527.50 × 464,527.50
4. Step 4: Simplify right side
   318,436x = 215,785,798,256.25
5. Step 5: Solve for x
   x = 215,785,798,256.25/318,436
6. Step 6: Final answer
   x = 677,642.60