Finding the Third Proportional to 320,553 and 507,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320,553 : 507,587.50 = 507,587.50 : x
2. Step 2: Convert to fraction form
   320,553/507,587.50 = 507,587.50/x
3. Step 3: Cross multiply
   320,553x = 507,587.50 × 507,587.50
4. Step 4: Simplify right side
   320,553x = 257,645,070,156.25
5. Step 5: Solve for x
   x = 257,645,070,156.25/320,553
6. Step 6: Final answer
   x = 803,751.86