Finding the Third Proportional to 208,632 and 312,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   208,632 : 312,805.50 = 312,805.50 : x
2. Step 2: Convert to fraction form
   208,632/312,805.50 = 312,805.50/x
3. Step 3: Cross multiply
   208,632x = 312,805.50 × 312,805.50
4. Step 4: Simplify right side
   208,632x = 97,847,280,830.25
5. Step 5: Solve for x
   x = 97,847,280,830.25/208,632
6. Step 6: Final answer
   x = 468,994.60