Finding the Third Proportional to 525,537 and 801,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   525,537 : 801,427.50 = 801,427.50 : x
2. Step 2: Convert to fraction form
   525,537/801,427.50 = 801,427.50/x
3. Step 3: Cross multiply
   525,537x = 801,427.50 × 801,427.50
4. Step 4: Simplify right side
   525,537x = 642,286,037,756.25
5. Step 5: Solve for x
   x = 642,286,037,756.25/525,537
6. Step 6: Final answer
   x = 1,222,151.89