Finding the Third Proportional to 217,377 and 334,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   217,377 : 334,165.50 = 334,165.50 : x
2. Step 2: Convert to fraction form
   217,377/334,165.50 = 334,165.50/x
3. Step 3: Cross multiply
   217,377x = 334,165.50 × 334,165.50
4. Step 4: Simplify right side
   217,377x = 111,666,581,390.25
5. Step 5: Solve for x
   x = 111,666,581,390.25/217,377
6. Step 6: Final answer
   x = 513,700.08