Finding the Third Proportional to 386,229 and 565,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,229 : 565,516.50 = 565,516.50 : x
2. Step 2: Convert to fraction form
   386,229/565,516.50 = 565,516.50/x
3. Step 3: Cross multiply
   386,229x = 565,516.50 × 565,516.50
4. Step 4: Simplify right side
   386,229x = 319,808,911,772.25
5. Step 5: Solve for x
   x = 319,808,911,772.25/386,229
6. Step 6: Final answer
   x = 828,029.26