Finding the Third Proportional to 299,320 and 464,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   299,320 : 464,719.50 = 464,719.50 : x
2. Step 2: Convert to fraction form
   299,320/464,719.50 = 464,719.50/x
3. Step 3: Cross multiply
   299,320x = 464,719.50 × 464,719.50
4. Step 4: Simplify right side
   299,320x = 215,964,213,680.25
5. Step 5: Solve for x
   x = 215,964,213,680.25/299,320
6. Step 6: Final answer
   x = 721,516.15