Finding the Third Proportional to 385,155 and 563,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   385,155 : 563,467.50 = 563,467.50 : x
2. Step 2: Convert to fraction form
   385,155/563,467.50 = 563,467.50/x
3. Step 3: Cross multiply
   385,155x = 563,467.50 × 563,467.50
4. Step 4: Simplify right side
   385,155x = 317,495,623,556.25
5. Step 5: Solve for x
   x = 317,495,623,556.25/385,155
6. Step 6: Final answer
   x = 824,332.08