Finding the Third Proportional to 319,693 and 469,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,693 : 469,171.50 = 469,171.50 : x
2. Step 2: Convert to fraction form
   319,693/469,171.50 = 469,171.50/x
3. Step 3: Cross multiply
   319,693x = 469,171.50 × 469,171.50
4. Step 4: Simplify right side
   319,693x = 220,121,896,412.25
5. Step 5: Solve for x
   x = 220,121,896,412.25/319,693
6. Step 6: Final answer
   x = 688,541.50