Finding the Third Proportional to 405,953.50 and 567,547

Step by Step Solution

1. Step 1: Write the proportion equation
   405,953.50 : 567,547 = 567,547 : x
2. Step 2: Convert to fraction form
   405,953.50/567,547 = 567,547/x
3. Step 3: Cross multiply
   405,953.50x = 567,547 × 567,547
4. Step 4: Simplify right side
   405,953.50x = 322,109,597,209
5. Step 5: Solve for x
   x = 322,109,597,209/405,953.50
6. Step 6: Final answer
   x = 793,464.27