Finding the Third Proportional to 216,585 and 334,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   216,585 : 334,714.50 = 334,714.50 : x
2. Step 2: Convert to fraction form
   216,585/334,714.50 = 334,714.50/x
3. Step 3: Cross multiply
   216,585x = 334,714.50 × 334,714.50
4. Step 4: Simplify right side
   216,585x = 112,033,796,510.25
5. Step 5: Solve for x
   x = 112,033,796,510.25/216,585
6. Step 6: Final answer
   x = 517,274.03