Finding the Third Proportional to 316,623 and 466,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   316,623 : 466,561.50 = 466,561.50 : x
2. Step 2: Convert to fraction form
   316,623/466,561.50 = 466,561.50/x
3. Step 3: Cross multiply
   316,623x = 466,561.50 × 466,561.50
4. Step 4: Simplify right side
   316,623x = 217,679,633,282.25
5. Step 5: Solve for x
   x = 217,679,633,282.25/316,623
6. Step 6: Final answer
   x = 687,504.17