Finding the Third Proportional to 343,155 and 517,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   343,155 : 517,432.50 = 517,432.50 : x
2. Step 2: Convert to fraction form
   343,155/517,432.50 = 517,432.50/x
3. Step 3: Cross multiply
   343,155x = 517,432.50 × 517,432.50
4. Step 4: Simplify right side
   343,155x = 267,736,392,056.25
5. Step 5: Solve for x
   x = 267,736,392,056.25/343,155
6. Step 6: Final answer
   x = 780,219.99