Finding the Third Proportional to 525,294 and 764,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   525,294 : 764,977.50 = 764,977.50 : x
2. Step 2: Convert to fraction form
   525,294/764,977.50 = 764,977.50/x
3. Step 3: Cross multiply
   525,294x = 764,977.50 × 764,977.50
4. Step 4: Simplify right side
   525,294x = 585,190,575,506.25
5. Step 5: Solve for x
   x = 585,190,575,506.25/525,294
6. Step 6: Final answer
   x = 1,114,024.86