Finding the Third Proportional to 506,094 and 764,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   506,094 : 764,368.50 = 764,368.50 : x
2. Step 2: Convert to fraction form
   506,094/764,368.50 = 764,368.50/x
3. Step 3: Cross multiply
   506,094x = 764,368.50 × 764,368.50
4. Step 4: Simplify right side
   506,094x = 584,259,203,792.25
5. Step 5: Solve for x
   x = 584,259,203,792.25/506,094
6. Step 6: Final answer
   x = 1,154,448.00