Finding the Third Proportional to 216,588 and 334,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   216,588 : 334,719.50 = 334,719.50 : x
2. Step 2: Convert to fraction form
   216,588/334,719.50 = 334,719.50/x
3. Step 3: Cross multiply
   216,588x = 334,719.50 × 334,719.50
4. Step 4: Simplify right side
   216,588x = 112,037,143,680.25
5. Step 5: Solve for x
   x = 112,037,143,680.25/216,588
6. Step 6: Final answer
   x = 517,282.32